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Finding the Fourth Proportional to 92,686.16, 127,861.80 and 54,933.68

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Solution

The fourth proportional to 92,686.16, 127,861.80 and 54,933.68 is: 75,781.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,686.16 : 127,861.80 = 54,933.68 : x
  2. Step 2: Convert to fraction form
    92,686.16/127,861.80 = 54,933.68/x
  3. Step 3: Cross multiply
    92,686.16x = 127,861.80 × 54,933.68
  4. Step 4: Simplify right side
    92,686.16x = 7,023,919,205.42
  5. Step 5: Solve for x
    x = 7,023,919,205.42/92,686.16
  6. Step 6: Final answer
    x = 75,781.75

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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.