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Finding the Fourth Proportional to 65,186.50, 89,949.92 and 36,502.17

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Solution

The fourth proportional to 65,186.50, 89,949.92 and 36,502.17 is: 50,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,186.50 : 89,949.92 = 36,502.17 : x
  2. Step 2: Convert to fraction form
    65,186.50/89,949.92 = 36,502.17/x
  3. Step 3: Cross multiply
    65,186.50x = 89,949.92 × 36,502.17
  4. Step 4: Simplify right side
    65,186.50x = 3,283,367,362.58
  5. Step 5: Solve for x
    x = 3,283,367,362.58/65,186.50
  6. Step 6: Final answer
    x = 50,368.83

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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.