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Finding the Fourth Proportional to 96,928.38, 133,773.12 and 54,486

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Solution

The fourth proportional to 96,928.38, 133,773.12 and 54,486 is: 75,197.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,928.38 : 133,773.12 = 54,486 : x
  2. Step 2: Convert to fraction form
    96,928.38/133,773.12 = 54,486/x
  3. Step 3: Cross multiply
    96,928.38x = 133,773.12 × 54,486
  4. Step 4: Simplify right side
    96,928.38x = 7,288,762,216.32
  5. Step 5: Solve for x
    x = 7,288,762,216.32/96,928.38
  6. Step 6: Final answer
    x = 75,197.40

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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.