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Finding the Fourth Proportional to 92,077.31, 127,068 and 54,351.56

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Solution

The fourth proportional to 92,077.31, 127,068 and 54,351.56 is: 75,005.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,077.31 : 127,068 = 54,351.56 : x
  2. Step 2: Convert to fraction form
    92,077.31/127,068 = 54,351.56/x
  3. Step 3: Cross multiply
    92,077.31x = 127,068 × 54,351.56
  4. Step 4: Simplify right side
    92,077.31x = 6,906,344,026.08
  5. Step 5: Solve for x
    x = 6,906,344,026.08/92,077.31
  6. Step 6: Final answer
    x = 75,005.93

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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.