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Finding the Fourth Proportional to 83,850.74, 125,776.10 and 24,686.42

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Solution

The fourth proportional to 83,850.74, 125,776.10 and 24,686.42 is: 37,029.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,850.74 : 125,776.10 = 24,686.42 : x
  2. Step 2: Convert to fraction form
    83,850.74/125,776.10 = 24,686.42/x
  3. Step 3: Cross multiply
    83,850.74x = 125,776.10 × 24,686.42
  4. Step 4: Simplify right side
    83,850.74x = 3,104,961,063.40
  5. Step 5: Solve for x
    x = 3,104,961,063.40/83,850.74
  6. Step 6: Final answer
    x = 37,029.62

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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.