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Finding the Fourth Proportional to 65,713.10, 98,569.65 and 54,049.10

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Solution

The fourth proportional to 65,713.10, 98,569.65 and 54,049.10 is: 81,073.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.10 : 98,569.65 = 54,049.10 : x
  2. Step 2: Convert to fraction form
    65,713.10/98,569.65 = 54,049.10/x
  3. Step 3: Cross multiply
    65,713.10x = 98,569.65 × 54,049.10
  4. Step 4: Simplify right side
    65,713.10x = 5,327,600,869.82
  5. Step 5: Solve for x
    x = 5,327,600,869.82/65,713.10
  6. Step 6: Final answer
    x = 81,073.65

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.