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Finding the Fourth Proportional to 92,042.31, 137,922.03 and 54,527.76

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Solution

The fourth proportional to 92,042.31, 137,922.03 and 54,527.76 is: 81,707.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,042.31 : 137,922.03 = 54,527.76 : x
  2. Step 2: Convert to fraction form
    92,042.31/137,922.03 = 54,527.76/x
  3. Step 3: Cross multiply
    92,042.31x = 137,922.03 × 54,527.76
  4. Step 4: Simplify right side
    92,042.31x = 7,520,579,350.55
  5. Step 5: Solve for x
    x = 7,520,579,350.55/92,042.31
  6. Step 6: Final answer
    x = 81,707.85

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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.