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Finding the Fourth Proportional to 83,575.92, 115,269.60 and 51,762.48

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Solution

The fourth proportional to 83,575.92, 115,269.60 and 51,762.48 is: 71,391.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,575.92 : 115,269.60 = 51,762.48 : x
  2. Step 2: Convert to fraction form
    83,575.92/115,269.60 = 51,762.48/x
  3. Step 3: Cross multiply
    83,575.92x = 115,269.60 × 51,762.48
  4. Step 4: Simplify right side
    83,575.92x = 5,966,640,364.61
  5. Step 5: Solve for x
    x = 5,966,640,364.61/83,575.92
  6. Step 6: Final answer
    x = 71,391.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.