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Finding the Fourth Proportional to 92,265.60, 138,049.44 and 54,845.76

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Solution

The fourth proportional to 92,265.60, 138,049.44 and 54,845.76 is: 82,061.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,265.60 : 138,049.44 = 54,845.76 : x
  2. Step 2: Convert to fraction form
    92,265.60/138,049.44 = 54,845.76/x
  3. Step 3: Cross multiply
    92,265.60x = 138,049.44 × 54,845.76
  4. Step 4: Simplify right side
    92,265.60x = 7,571,426,454.37
  5. Step 5: Solve for x
    x = 7,571,426,454.37/92,265.60
  6. Step 6: Final answer
    x = 82,061.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.