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Finding the Fourth Proportional to 99,559.40, 137,391.97 and 54,847.40

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Solution

The fourth proportional to 99,559.40, 137,391.97 and 54,847.40 is: 75,689.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,559.40 : 137,391.97 = 54,847.40 : x
  2. Step 2: Convert to fraction form
    99,559.40/137,391.97 = 54,847.40/x
  3. Step 3: Cross multiply
    99,559.40x = 137,391.97 × 54,847.40
  4. Step 4: Simplify right side
    99,559.40x = 7,535,592,335.38
  5. Step 5: Solve for x
    x = 7,535,592,335.38/99,559.40
  6. Step 6: Final answer
    x = 75,689.41

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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.