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Finding the Fourth Proportional to 83,201.50, 124,777.62 and 24,037.72

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Solution

The fourth proportional to 83,201.50, 124,777.62 and 24,037.72 is: 36,049.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,201.50 : 124,777.62 = 24,037.72 : x
  2. Step 2: Convert to fraction form
    83,201.50/124,777.62 = 24,037.72/x
  3. Step 3: Cross multiply
    83,201.50x = 124,777.62 × 24,037.72
  4. Step 4: Simplify right side
    83,201.50x = 2,999,369,491.83
  5. Step 5: Solve for x
    x = 2,999,369,491.83/83,201.50
  6. Step 6: Final answer
    x = 36,049.46

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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.