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Finding the Fourth Proportional to 65,171.28, 89,915.76 and 38,305.20

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Solution

The fourth proportional to 65,171.28, 89,915.76 and 38,305.20 is: 52,849.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,171.28 : 89,915.76 = 38,305.20 : x
  2. Step 2: Convert to fraction form
    65,171.28/89,915.76 = 38,305.20/x
  3. Step 3: Cross multiply
    65,171.28x = 89,915.76 × 38,305.20
  4. Step 4: Simplify right side
    65,171.28x = 3,444,241,169.95
  5. Step 5: Solve for x
    x = 3,444,241,169.95/65,171.28
  6. Step 6: Final answer
    x = 52,849.06

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1.5x scale

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.