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Finding the Fourth Proportional to 71,594.64, 98,794.82 and 41,381.92

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Solution

The fourth proportional to 71,594.64, 98,794.82 and 41,381.92 is: 57,103.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,594.64 : 98,794.82 = 41,381.92 : x
  2. Step 2: Convert to fraction form
    71,594.64/98,794.82 = 41,381.92/x
  3. Step 3: Cross multiply
    71,594.64x = 98,794.82 × 41,381.92
  4. Step 4: Simplify right side
    71,594.64x = 4,088,319,564.60
  5. Step 5: Solve for x
    x = 4,088,319,564.60/71,594.64
  6. Step 6: Final answer
    x = 57,103.71

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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.