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Finding the Fourth Proportional to 71,743,851.60, 107,632,860.60 and 23,221,714.32

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Solution

The fourth proportional to 71,743,851.60, 107,632,860.60 and 23,221,714.32 is: 34,838,100.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,743,851.60 : 107,632,860.60 = 23,221,714.32 : x
  2. Step 2: Convert to fraction form
    71,743,851.60/107,632,860.60 = 23,221,714.32/x
  3. Step 3: Cross multiply
    71,743,851.60x = 107,632,860.60 × 23,221,714.32
  4. Step 4: Simplify right side
    71,743,851.60x = 2,499,419,540,297,583.50
  5. Step 5: Solve for x
    x = 2,499,419,540,297,583.50/71,743,851.60
  6. Step 6: Final answer
    x = 34,838,100.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.