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Finding the Fourth Proportional to 65,713.70, 98,643.45 and 40,781.90

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Solution

The fourth proportional to 65,713.70, 98,643.45 and 40,781.90 is: 61,218.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,713.70 : 98,643.45 = 40,781.90 : x
  2. Step 2: Convert to fraction form
    65,713.70/98,643.45 = 40,781.90/x
  3. Step 3: Cross multiply
    65,713.70x = 98,643.45 × 40,781.90
  4. Step 4: Simplify right side
    65,713.70x = 4,022,867,313.56
  5. Step 5: Solve for x
    x = 4,022,867,313.56/65,713.70
  6. Step 6: Final answer
    x = 61,218.09

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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.