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Finding the Fourth Proportional to 77,958, 107,582.34 and 43,504.20

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Solution

The fourth proportional to 77,958, 107,582.34 and 43,504.20 is: 60,035.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,958 : 107,582.34 = 43,504.20 : x
  2. Step 2: Convert to fraction form
    77,958/107,582.34 = 43,504.20/x
  3. Step 3: Cross multiply
    77,958x = 107,582.34 × 43,504.20
  4. Step 4: Simplify right side
    77,958x = 4,680,283,635.83
  5. Step 5: Solve for x
    x = 4,680,283,635.83/77,958
  6. Step 6: Final answer
    x = 60,035.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.