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Finding the Fourth Proportional to 123,836.86, 185,753.29 and 48,957.70

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Solution

The fourth proportional to 123,836.86, 185,753.29 and 48,957.70 is: 73,435.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,836.86 : 185,753.29 = 48,957.70 : x
  2. Step 2: Convert to fraction form
    123,836.86/185,753.29 = 48,957.70/x
  3. Step 3: Cross multiply
    123,836.86x = 185,753.29 × 48,957.70
  4. Step 4: Simplify right side
    123,836.86x = 9,094,053,845.83
  5. Step 5: Solve for x
    x = 9,094,053,845.83/123,836.86
  6. Step 6: Final answer
    x = 73,435.76

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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.