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Finding the Fourth Proportional to 31,655.96, 47,489.16 and 14,125.12

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Solution

The fourth proportional to 31,655.96, 47,489.16 and 14,125.12 is: 21,190.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,655.96 : 47,489.16 = 14,125.12 : x
  2. Step 2: Convert to fraction form
    31,655.96/47,489.16 = 14,125.12/x
  3. Step 3: Cross multiply
    31,655.96x = 47,489.16 × 14,125.12
  4. Step 4: Simplify right side
    31,655.96x = 670,790,083.70
  5. Step 5: Solve for x
    x = 670,790,083.70/31,655.96
  6. Step 6: Final answer
    x = 21,190.01

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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.