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Finding the Fourth Proportional to 31,143.35, 46,708.02 and 8,951.78

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Solution

The fourth proportional to 31,143.35, 46,708.02 and 8,951.78 is: 13,425.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.35 : 46,708.02 = 8,951.78 : x
  2. Step 2: Convert to fraction form
    31,143.35/46,708.02 = 8,951.78/x
  3. Step 3: Cross multiply
    31,143.35x = 46,708.02 × 8,951.78
  4. Step 4: Simplify right side
    31,143.35x = 418,119,919.28
  5. Step 5: Solve for x
    x = 418,119,919.28/31,143.35
  6. Step 6: Final answer
    x = 13,425.66

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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.