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Finding the Fourth Proportional to 83,053.85, 124,597.17 and 30,463.79

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Solution

The fourth proportional to 83,053.85, 124,597.17 and 30,463.79 is: 45,701.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,053.85 : 124,597.17 = 30,463.79 : x
  2. Step 2: Convert to fraction form
    83,053.85/124,597.17 = 30,463.79/x
  3. Step 3: Cross multiply
    83,053.85x = 124,597.17 × 30,463.79
  4. Step 4: Simplify right side
    83,053.85x = 3,795,701,398.49
  5. Step 5: Solve for x
    x = 3,795,701,398.49/83,053.85
  6. Step 6: Final answer
    x = 45,701.69

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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.