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Finding the Fourth Proportional to 65,101.41, 89,842.37 and 36,805.41

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Solution

The fourth proportional to 65,101.41, 89,842.37 and 36,805.41 is: 50,792.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,101.41 : 89,842.37 = 36,805.41 : x
  2. Step 2: Convert to fraction form
    65,101.41/89,842.37 = 36,805.41/x
  3. Step 3: Cross multiply
    65,101.41x = 89,842.37 × 36,805.41
  4. Step 4: Simplify right side
    65,101.41x = 3,306,685,079.19
  5. Step 5: Solve for x
    x = 3,306,685,079.19/65,101.41
  6. Step 6: Final answer
    x = 50,792.83

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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.