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Finding the Fourth Proportional to 31,098.33, 46,651.14 and 10,039.95

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Solution

The fourth proportional to 31,098.33, 46,651.14 and 10,039.95 is: 15,061.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,098.33 : 46,651.14 = 10,039.95 : x
  2. Step 2: Convert to fraction form
    31,098.33/46,651.14 = 10,039.95/x
  3. Step 3: Cross multiply
    31,098.33x = 46,651.14 × 10,039.95
  4. Step 4: Simplify right side
    31,098.33x = 468,375,113.04
  5. Step 5: Solve for x
    x = 468,375,113.04/31,098.33
  6. Step 6: Final answer
    x = 15,061.10

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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.