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Finding the Fourth Proportional to 71,825.93, 107,834.13 and 61,363.19

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Solution

The fourth proportional to 71,825.93, 107,834.13 and 61,363.19 is: 92,126.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,825.93 : 107,834.13 = 61,363.19 : x
  2. Step 2: Convert to fraction form
    71,825.93/107,834.13 = 61,363.19/x
  3. Step 3: Cross multiply
    71,825.93x = 107,834.13 × 61,363.19
  4. Step 4: Simplify right side
    71,825.93x = 6,617,046,072.88
  5. Step 5: Solve for x
    x = 6,617,046,072.88/71,825.93
  6. Step 6: Final answer
    x = 92,126.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.