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Finding the Fourth Proportional to 41,242.62, 61,863.86 and 10,077.86

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Solution

The fourth proportional to 41,242.62, 61,863.86 and 10,077.86 is: 15,116.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,242.62 : 61,863.86 = 10,077.86 : x
  2. Step 2: Convert to fraction form
    41,242.62/61,863.86 = 10,077.86/x
  3. Step 3: Cross multiply
    41,242.62x = 61,863.86 × 10,077.86
  4. Step 4: Simplify right side
    41,242.62x = 623,455,320.14
  5. Step 5: Solve for x
    x = 623,455,320.14/41,242.62
  6. Step 6: Final answer
    x = 15,116.77

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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.