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Finding the Fourth Proportional to 41,084, 61,630.86 and 13,382

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Solution

The fourth proportional to 41,084, 61,630.86 and 13,382 is: 20,074.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,084 : 61,630.86 = 13,382 : x
  2. Step 2: Convert to fraction form
    41,084/61,630.86 = 13,382/x
  3. Step 3: Cross multiply
    41,084x = 61,630.86 × 13,382
  4. Step 4: Simplify right side
    41,084x = 824,744,168.52
  5. Step 5: Solve for x
    x = 824,744,168.52/41,084
  6. Step 6: Final answer
    x = 20,074.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.