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Finding the Fourth Proportional to 31,613.40, 47,419.59 and 9,426.87

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Solution

The fourth proportional to 31,613.40, 47,419.59 and 9,426.87 is: 14,140.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,613.40 : 47,419.59 = 9,426.87 : x
  2. Step 2: Convert to fraction form
    31,613.40/47,419.59 = 9,426.87/x
  3. Step 3: Cross multiply
    31,613.40x = 47,419.59 × 9,426.87
  4. Step 4: Simplify right side
    31,613.40x = 447,018,310.38
  5. Step 5: Solve for x
    x = 447,018,310.38/31,613.40
  6. Step 6: Final answer
    x = 14,140.15

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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.