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Finding the Fourth Proportional to 99,690.38, 137,572.72 and 54,978.38

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Solution

The fourth proportional to 99,690.38, 137,572.72 and 54,978.38 is: 75,870.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,690.38 : 137,572.72 = 54,978.38 : x
  2. Step 2: Convert to fraction form
    99,690.38/137,572.72 = 54,978.38/x
  3. Step 3: Cross multiply
    99,690.38x = 137,572.72 × 54,978.38
  4. Step 4: Simplify right side
    99,690.38x = 7,563,524,452.48
  5. Step 5: Solve for x
    x = 7,563,524,452.48/99,690.38
  6. Step 6: Final answer
    x = 75,870.16

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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.