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Finding the Fourth Proportional to 31,217.38, 46,827.42 and 9,033

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Solution

The fourth proportional to 31,217.38, 46,827.42 and 9,033 is: 13,549.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,217.38 : 46,827.42 = 9,033 : x
  2. Step 2: Convert to fraction form
    31,217.38/46,827.42 = 9,033/x
  3. Step 3: Cross multiply
    31,217.38x = 46,827.42 × 9,033
  4. Step 4: Simplify right side
    31,217.38x = 422,992,084.86
  5. Step 5: Solve for x
    x = 422,992,084.86/31,217.38
  6. Step 6: Final answer
    x = 13,549.89

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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.