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Finding the Fourth Proportional to 31,543.59, 47,291.92 and 14,894.15

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Solution

The fourth proportional to 31,543.59, 47,291.92 and 14,894.15 is: 22,330.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,543.59 : 47,291.92 = 14,894.15 : x
  2. Step 2: Convert to fraction form
    31,543.59/47,291.92 = 14,894.15/x
  3. Step 3: Cross multiply
    31,543.59x = 47,291.92 × 14,894.15
  4. Step 4: Simplify right side
    31,543.59x = 704,372,676.57
  5. Step 5: Solve for x
    x = 704,372,676.57/31,543.59
  6. Step 6: Final answer
    x = 22,330.13

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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.