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Finding the Fourth Proportional to 83,203.52, 124,780.62 and 24,039.72

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Solution

The fourth proportional to 83,203.52, 124,780.62 and 24,039.72 is: 36,052.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,203.52 : 124,780.62 = 24,039.72 : x
  2. Step 2: Convert to fraction form
    83,203.52/124,780.62 = 24,039.72/x
  3. Step 3: Cross multiply
    83,203.52x = 124,780.62 × 24,039.72
  4. Step 4: Simplify right side
    83,203.52x = 2,999,691,166.23
  5. Step 5: Solve for x
    x = 2,999,691,166.23/83,203.52
  6. Step 6: Final answer
    x = 36,052.46

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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.