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Finding the Fourth Proportional to 31,329.89, 46,998.27 and 9,146.90

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Solution

The fourth proportional to 31,329.89, 46,998.27 and 9,146.90 is: 13,721.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,329.89 : 46,998.27 = 9,146.90 : x
  2. Step 2: Convert to fraction form
    31,329.89/46,998.27 = 9,146.90/x
  3. Step 3: Cross multiply
    31,329.89x = 46,998.27 × 9,146.90
  4. Step 4: Simplify right side
    31,329.89x = 429,888,240.87
  5. Step 5: Solve for x
    x = 429,888,240.87/31,329.89
  6. Step 6: Final answer
    x = 13,721.35

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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.