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Finding the Fourth Proportional to 83,875.88, 115,777.22 and 52,063.40

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Solution

The fourth proportional to 83,875.88, 115,777.22 and 52,063.40 is: 71,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,875.88 : 115,777.22 = 52,063.40 : x
  2. Step 2: Convert to fraction form
    83,875.88/115,777.22 = 52,063.40/x
  3. Step 3: Cross multiply
    83,875.88x = 115,777.22 × 52,063.40
  4. Step 4: Simplify right side
    83,875.88x = 6,027,755,715.75
  5. Step 5: Solve for x
    x = 6,027,755,715.75/83,875.88
  6. Step 6: Final answer
    x = 71,865.19

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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.