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Finding the Fourth Proportional to 57,762.34, 86,592.87 and 27,761.56

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Solution

The fourth proportional to 57,762.34, 86,592.87 and 27,761.56 is: 41,618.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,762.34 : 86,592.87 = 27,761.56 : x
  2. Step 2: Convert to fraction form
    57,762.34/86,592.87 = 27,761.56/x
  3. Step 3: Cross multiply
    57,762.34x = 86,592.87 × 27,761.56
  4. Step 4: Simplify right side
    57,762.34x = 2,403,953,156.08
  5. Step 5: Solve for x
    x = 2,403,953,156.08/57,762.34
  6. Step 6: Final answer
    x = 41,618.00

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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.