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Finding the Fourth Proportional to 57,715.47, 86,572.31 and 47,833.88

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Solution

The fourth proportional to 57,715.47, 86,572.31 and 47,833.88 is: 71,750.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,715.47 : 86,572.31 = 47,833.88 : x
  2. Step 2: Convert to fraction form
    57,715.47/86,572.31 = 47,833.88/x
  3. Step 3: Cross multiply
    57,715.47x = 86,572.31 × 47,833.88
  4. Step 4: Simplify right side
    57,715.47x = 4,141,088,815.83
  5. Step 5: Solve for x
    x = 4,141,088,815.83/57,715.47
  6. Step 6: Final answer
    x = 71,750.07

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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.