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Finding the Fourth Proportional to 57,901.96, 86,883.18 and 31,601.80

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Solution

The fourth proportional to 57,901.96, 86,883.18 and 31,601.80 is: 47,419.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,901.96 : 86,883.18 = 31,601.80 : x
  2. Step 2: Convert to fraction form
    57,901.96/86,883.18 = 31,601.80/x
  3. Step 3: Cross multiply
    57,901.96x = 86,883.18 × 31,601.80
  4. Step 4: Simplify right side
    57,901.96x = 2,745,664,877.72
  5. Step 5: Solve for x
    x = 2,745,664,877.72/57,901.96
  6. Step 6: Final answer
    x = 47,419.20

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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.