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Finding the Fourth Proportional to 99,793.59, 137,719.22 and 54,474.63

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Solution

The fourth proportional to 99,793.59, 137,719.22 and 54,474.63 is: 75,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,793.59 : 137,719.22 = 54,474.63 : x
  2. Step 2: Convert to fraction form
    99,793.59/137,719.22 = 54,474.63/x
  3. Step 3: Cross multiply
    99,793.59x = 137,719.22 × 54,474.63
  4. Step 4: Simplify right side
    99,793.59x = 7,502,203,281.02
  5. Step 5: Solve for x
    x = 7,502,203,281.02/99,793.59
  6. Step 6: Final answer
    x = 75,177.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.