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Finding the Fourth Proportional to 83,843.84, 125,654.64 and 61,553

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Solution

The fourth proportional to 83,843.84, 125,654.64 and 61,553 is: 92,247.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,843.84 : 125,654.64 = 61,553 : x
  2. Step 2: Convert to fraction form
    83,843.84/125,654.64 = 61,553/x
  3. Step 3: Cross multiply
    83,843.84x = 125,654.64 × 61,553
  4. Step 4: Simplify right side
    83,843.84x = 7,734,420,055.92
  5. Step 5: Solve for x
    x = 7,734,420,055.92/83,843.84
  6. Step 6: Final answer
    x = 92,247.92

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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.