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Finding the Fourth Proportional to 65,713.70, 98,570.55 and 55,216.10

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Solution

The fourth proportional to 65,713.70, 98,570.55 and 55,216.10 is: 82,824.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.70 : 98,570.55 = 55,216.10 : x
  2. Step 2: Convert to fraction form
    65,713.70/98,570.55 = 55,216.10/x
  3. Step 3: Cross multiply
    65,713.70x = 98,570.55 × 55,216.10
  4. Step 4: Simplify right side
    65,713.70x = 5,442,681,345.86
  5. Step 5: Solve for x
    x = 5,442,681,345.86/65,713.70
  6. Step 6: Final answer
    x = 82,824.15

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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.