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Finding the Fourth Proportional to 83,102.64, 124,654.17 and 33,186.80

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Solution

The fourth proportional to 83,102.64, 124,654.17 and 33,186.80 is: 49,780.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,102.64 : 124,654.17 = 33,186.80 : x
  2. Step 2: Convert to fraction form
    83,102.64/124,654.17 = 33,186.80/x
  3. Step 3: Cross multiply
    83,102.64x = 124,654.17 × 33,186.80
  4. Step 4: Simplify right side
    83,102.64x = 4,136,872,385.69
  5. Step 5: Solve for x
    x = 4,136,872,385.69/83,102.64
  6. Step 6: Final answer
    x = 49,780.28

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1.5x scale

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.