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Finding the Fourth Proportional to 65,012.28, 89,722.26 and 36,723.30

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Solution

The fourth proportional to 65,012.28, 89,722.26 and 36,723.30 is: 50,681.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,012.28 : 89,722.26 = 36,723.30 : x
  2. Step 2: Convert to fraction form
    65,012.28/89,722.26 = 36,723.30/x
  3. Step 3: Cross multiply
    65,012.28x = 89,722.26 × 36,723.30
  4. Step 4: Simplify right side
    65,012.28x = 3,294,897,470.66
  5. Step 5: Solve for x
    x = 3,294,897,470.66/65,012.28
  6. Step 6: Final answer
    x = 50,681.16

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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.