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Finding the Fourth Proportional to 31,633.59, 47,458.62 and 9,446.97

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Solution

The fourth proportional to 31,633.59, 47,458.62 and 9,446.97 is: 14,172.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,633.59 : 47,458.62 = 9,446.97 : x
  2. Step 2: Convert to fraction form
    31,633.59/47,458.62 = 9,446.97/x
  3. Step 3: Cross multiply
    31,633.59x = 47,458.62 × 9,446.97
  4. Step 4: Simplify right side
    31,633.59x = 448,340,159.38
  5. Step 5: Solve for x
    x = 448,340,159.38/31,633.59
  6. Step 6: Final answer
    x = 14,172.91

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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.