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Finding the Fourth Proportional to 31,143.35, 46,715 and 10,366.85

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Solution

The fourth proportional to 31,143.35, 46,715 and 10,366.85 is: 15,550.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,143.35 : 46,715 = 10,366.85 : x
  2. Step 2: Convert to fraction form
    31,143.35/46,715 = 10,366.85/x
  3. Step 3: Cross multiply
    31,143.35x = 46,715 × 10,366.85
  4. Step 4: Simplify right side
    31,143.35x = 484,287,397.75
  5. Step 5: Solve for x
    x = 484,287,397.75/31,143.35
  6. Step 6: Final answer
    x = 15,550.27

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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.