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Finding the Fourth Proportional to 71,464, 107,195.28 and 29,367.04

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Solution

The fourth proportional to 71,464, 107,195.28 and 29,367.04 is: 44,050.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,464 : 107,195.28 = 29,367.04 : x
  2. Step 2: Convert to fraction form
    71,464/107,195.28 = 29,367.04/x
  3. Step 3: Cross multiply
    71,464x = 107,195.28 × 29,367.04
  4. Step 4: Simplify right side
    71,464x = 3,148,008,075.57
  5. Step 5: Solve for x
    x = 3,148,008,075.57/71,464
  6. Step 6: Final answer
    x = 44,050.26

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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.