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Finding the Fourth Proportional to 65,101.66, 89,842.71 and 36,805.66

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Solution

The fourth proportional to 65,101.66, 89,842.71 and 36,805.66 is: 50,793.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101.66 : 89,842.71 = 36,805.66 : x
  2. Step 2: Convert to fraction form
    65,101.66/89,842.71 = 36,805.66/x
  3. Step 3: Cross multiply
    65,101.66x = 89,842.71 × 36,805.66
  4. Step 4: Simplify right side
    65,101.66x = 3,306,720,237.74
  5. Step 5: Solve for x
    x = 3,306,720,237.74/65,101.66
  6. Step 6: Final answer
    x = 50,793.18

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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.