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Finding the Fourth Proportional to 65,176.92, 89,941.59 and 36,882

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Solution

The fourth proportional to 65,176.92, 89,941.59 and 36,882 is: 50,895.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,176.92 : 89,941.59 = 36,882 : x
  2. Step 2: Convert to fraction form
    65,176.92/89,941.59 = 36,882/x
  3. Step 3: Cross multiply
    65,176.92x = 89,941.59 × 36,882
  4. Step 4: Simplify right side
    65,176.92x = 3,317,225,722.38
  5. Step 5: Solve for x
    x = 3,317,225,722.38/65,176.92
  6. Step 6: Final answer
    x = 50,895.71

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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.