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Finding the Fourth Proportional to 92,456.64, 127,549 and 54,709.04

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Solution

The fourth proportional to 92,456.64, 127,549 and 54,709.04 is: 75,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,456.64 : 127,549 = 54,709.04 : x
  2. Step 2: Convert to fraction form
    92,456.64/127,549 = 54,709.04/x
  3. Step 3: Cross multiply
    92,456.64x = 127,549 × 54,709.04
  4. Step 4: Simplify right side
    92,456.64x = 6,978,083,342.96
  5. Step 5: Solve for x
    x = 6,978,083,342.96/92,456.64
  6. Step 6: Final answer
    x = 75,474.12

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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.