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Finding the Fourth Proportional to 57,001.38, 78,585.21 and 39,982.74

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Solution

The fourth proportional to 57,001.38, 78,585.21 and 39,982.74 is: 55,122.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,001.38 : 78,585.21 = 39,982.74 : x
  2. Step 2: Convert to fraction form
    57,001.38/78,585.21 = 39,982.74/x
  3. Step 3: Cross multiply
    57,001.38x = 78,585.21 × 39,982.74
  4. Step 4: Simplify right side
    57,001.38x = 3,142,052,019.28
  5. Step 5: Solve for x
    x = 3,142,052,019.28/57,001.38
  6. Step 6: Final answer
    x = 55,122.39

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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.