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Finding the Fourth Proportional to 66,489.28, 91,746.11 and 38,194.96

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Solution

The fourth proportional to 66,489.28, 91,746.11 and 38,194.96 is: 52,703.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,489.28 : 91,746.11 = 38,194.96 : x
  2. Step 2: Convert to fraction form
    66,489.28/91,746.11 = 38,194.96/x
  3. Step 3: Cross multiply
    66,489.28x = 91,746.11 × 38,194.96
  4. Step 4: Simplify right side
    66,489.28x = 3,504,239,001.61
  5. Step 5: Solve for x
    x = 3,504,239,001.61/66,489.28
  6. Step 6: Final answer
    x = 52,703.82

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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.