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Finding the Fourth Proportional to 83,180, 124,770.96 and 24,016.32

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Solution

The fourth proportional to 83,180, 124,770.96 and 24,016.32 is: 36,024.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,180 : 124,770.96 = 24,016.32 : x
  2. Step 2: Convert to fraction form
    83,180/124,770.96 = 24,016.32/x
  3. Step 3: Cross multiply
    83,180x = 124,770.96 × 24,016.32
  4. Step 4: Simplify right side
    83,180x = 2,996,539,302.07
  5. Step 5: Solve for x
    x = 2,996,539,302.07/83,180
  6. Step 6: Final answer
    x = 36,024.76

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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.