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Finding the Fourth Proportional to 65,354.28, 90,189.82 and 38,129.57

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Solution

The fourth proportional to 65,354.28, 90,189.82 and 38,129.57 is: 52,619.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,354.28 : 90,189.82 = 38,129.57 : x
  2. Step 2: Convert to fraction form
    65,354.28/90,189.82 = 38,129.57/x
  3. Step 3: Cross multiply
    65,354.28x = 90,189.82 × 38,129.57
  4. Step 4: Simplify right side
    65,354.28x = 3,438,898,989.90
  5. Step 5: Solve for x
    x = 3,438,898,989.90/65,354.28
  6. Step 6: Final answer
    x = 52,619.34

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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.