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Finding the Fourth Proportional to 31,534.47, 47,302.92 and 8,160.98

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Solution

The fourth proportional to 31,534.47, 47,302.92 and 8,160.98 is: 12,241.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,534.47 : 47,302.92 = 8,160.98 : x
  2. Step 2: Convert to fraction form
    31,534.47/47,302.92 = 8,160.98/x
  3. Step 3: Cross multiply
    31,534.47x = 47,302.92 × 8,160.98
  4. Step 4: Simplify right side
    31,534.47x = 386,037,947.55
  5. Step 5: Solve for x
    x = 386,037,947.55/31,534.47
  6. Step 6: Final answer
    x = 12,241.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.