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Finding the Fourth Proportional to 57,710.48, 86,564.80 and 29,614.31

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Solution

The fourth proportional to 57,710.48, 86,564.80 and 29,614.31 is: 44,420.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,710.48 : 86,564.80 = 29,614.31 : x
  2. Step 2: Convert to fraction form
    57,710.48/86,564.80 = 29,614.31/x
  3. Step 3: Cross multiply
    57,710.48x = 86,564.80 × 29,614.31
  4. Step 4: Simplify right side
    57,710.48x = 2,563,556,822.29
  5. Step 5: Solve for x
    x = 2,563,556,822.29/57,710.48
  6. Step 6: Final answer
    x = 44,420.99

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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.