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Finding the Fourth Proportional to 57,470.54, 86,207.26 and 15,917.90

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Solution

The fourth proportional to 57,470.54, 86,207.26 and 15,917.90 is: 23,877.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,470.54 : 86,207.26 = 15,917.90 : x
  2. Step 2: Convert to fraction form
    57,470.54/86,207.26 = 15,917.90/x
  3. Step 3: Cross multiply
    57,470.54x = 86,207.26 × 15,917.90
  4. Step 4: Simplify right side
    57,470.54x = 1,372,238,543.95
  5. Step 5: Solve for x
    x = 1,372,238,543.95/57,470.54
  6. Step 6: Final answer
    x = 23,877.25

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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.