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Finding the Fourth Proportional to 31,627.71, 47,444.27 and 8,254.13

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Solution

The fourth proportional to 31,627.71, 47,444.27 and 8,254.13 is: 12,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,627.71 : 47,444.27 = 8,254.13 : x
  2. Step 2: Convert to fraction form
    31,627.71/47,444.27 = 8,254.13/x
  3. Step 3: Cross multiply
    31,627.71x = 47,444.27 × 8,254.13
  4. Step 4: Simplify right side
    31,627.71x = 391,610,893.84
  5. Step 5: Solve for x
    x = 391,610,893.84/31,627.71
  6. Step 6: Final answer
    x = 12,381.89

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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.