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Finding the Fourth Proportional to 31,151, 46,734.30 and 8,963.89

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Solution

The fourth proportional to 31,151, 46,734.30 and 8,963.89 is: 13,448.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,151 : 46,734.30 = 8,963.89 : x
  2. Step 2: Convert to fraction form
    31,151/46,734.30 = 8,963.89/x
  3. Step 3: Cross multiply
    31,151x = 46,734.30 × 8,963.89
  4. Step 4: Simplify right side
    31,151x = 418,920,845.94
  5. Step 5: Solve for x
    x = 418,920,845.94/31,151
  6. Step 6: Final answer
    x = 13,448.07

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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.