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Finding the Fourth Proportional to 71,204.48, 106,805.52 and 29,075.28

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Solution

The fourth proportional to 71,204.48, 106,805.52 and 29,075.28 is: 43,612.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,204.48 : 106,805.52 = 29,075.28 : x
  2. Step 2: Convert to fraction form
    71,204.48/106,805.52 = 29,075.28/x
  3. Step 3: Cross multiply
    71,204.48x = 106,805.52 × 29,075.28
  4. Step 4: Simplify right side
    71,204.48x = 3,105,400,399.55
  5. Step 5: Solve for x
    x = 3,105,400,399.55/71,204.48
  6. Step 6: Final answer
    x = 43,612.43

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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.