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Finding the Fourth Proportional to 71,798.40, 107,698.24 and 25,051.20

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Solution

The fourth proportional to 71,798.40, 107,698.24 and 25,051.20 is: 37,577.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,798.40 : 107,698.24 = 25,051.20 : x
  2. Step 2: Convert to fraction form
    71,798.40/107,698.24 = 25,051.20/x
  3. Step 3: Cross multiply
    71,798.40x = 107,698.24 × 25,051.20
  4. Step 4: Simplify right side
    71,798.40x = 2,697,970,149.89
  5. Step 5: Solve for x
    x = 2,697,970,149.89/71,798.40
  6. Step 6: Final answer
    x = 37,577.02

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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.