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Finding the Fourth Proportional to 31,229.78, 46,851.52 and 9,044.06

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Solution

The fourth proportional to 31,229.78, 46,851.52 and 9,044.06 is: 13,568.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,229.78 : 46,851.52 = 9,044.06 : x
  2. Step 2: Convert to fraction form
    31,229.78/46,851.52 = 9,044.06/x
  3. Step 3: Cross multiply
    31,229.78x = 46,851.52 × 9,044.06
  4. Step 4: Simplify right side
    31,229.78x = 423,727,957.97
  5. Step 5: Solve for x
    x = 423,727,957.97/31,229.78
  6. Step 6: Final answer
    x = 13,568.07

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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.