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Finding the Fourth Proportional to 83,841.52, 125,762.55 and 52,611.16

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Solution

The fourth proportional to 83,841.52, 125,762.55 and 52,611.16 is: 78,916.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,841.52 : 125,762.55 = 52,611.16 : x
  2. Step 2: Convert to fraction form
    83,841.52/125,762.55 = 52,611.16/x
  3. Step 3: Cross multiply
    83,841.52x = 125,762.55 × 52,611.16
  4. Step 4: Simplify right side
    83,841.52x = 6,616,513,640.06
  5. Step 5: Solve for x
    x = 6,616,513,640.06/83,841.52
  6. Step 6: Final answer
    x = 78,916.91

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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.