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Finding the Fourth Proportional to 71,696.94, 107,397.45 and 42,024.66

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Solution

The fourth proportional to 71,696.94, 107,397.45 and 42,024.66 is: 62,950.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,696.94 : 107,397.45 = 42,024.66 : x
  2. Step 2: Convert to fraction form
    71,696.94/107,397.45 = 42,024.66/x
  3. Step 3: Cross multiply
    71,696.94x = 107,397.45 × 42,024.66
  4. Step 4: Simplify right side
    71,696.94x = 4,513,341,321.12
  5. Step 5: Solve for x
    x = 4,513,341,321.12/71,696.94
  6. Step 6: Final answer
    x = 62,950.26

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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.