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Finding the Fourth Proportional to 71,302.75, 98,423.72 and 41,494.75

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Solution

The fourth proportional to 71,302.75, 98,423.72 and 41,494.75 is: 57,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,302.75 : 98,423.72 = 41,494.75 : x
  2. Step 2: Convert to fraction form
    71,302.75/98,423.72 = 41,494.75/x
  3. Step 3: Cross multiply
    71,302.75x = 98,423.72 × 41,494.75
  4. Step 4: Simplify right side
    71,302.75x = 4,084,067,448.00
  5. Step 5: Solve for x
    x = 4,084,067,448.00/71,302.75
  6. Step 6: Final answer
    x = 57,277.84

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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.