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Finding the Fourth Proportional to 65,193.75, 89,972.82 and 41,311.71

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Solution

The fourth proportional to 65,193.75, 89,972.82 and 41,311.71 is: 57,013.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,193.75 : 89,972.82 = 41,311.71 : x
  2. Step 2: Convert to fraction form
    65,193.75/89,972.82 = 41,311.71/x
  3. Step 3: Cross multiply
    65,193.75x = 89,972.82 × 41,311.71
  4. Step 4: Simplify right side
    65,193.75x = 3,716,931,047.72
  5. Step 5: Solve for x
    x = 3,716,931,047.72/65,193.75
  6. Step 6: Final answer
    x = 57,013.61

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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.