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Finding the Fourth Proportional to 92,437.25, 127,564.11 and 54,197.78

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Solution

The fourth proportional to 92,437.25, 127,564.11 and 54,197.78 is: 74,793.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,437.25 : 127,564.11 = 54,197.78 : x
  2. Step 2: Convert to fraction form
    92,437.25/127,564.11 = 54,197.78/x
  3. Step 3: Cross multiply
    92,437.25x = 127,564.11 × 54,197.78
  4. Step 4: Simplify right side
    92,437.25x = 6,913,690,931.86
  5. Step 5: Solve for x
    x = 6,913,690,931.86/92,437.25
  6. Step 6: Final answer
    x = 74,793.35

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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.