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Finding the Fourth Proportional to 52,043.58, 71,821.08 and 29,378.16

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Solution

The fourth proportional to 52,043.58, 71,821.08 and 29,378.16 is: 40,542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,043.58 : 71,821.08 = 29,378.16 : x
  2. Step 2: Convert to fraction form
    52,043.58/71,821.08 = 29,378.16/x
  3. Step 3: Cross multiply
    52,043.58x = 71,821.08 × 29,378.16
  4. Step 4: Simplify right side
    52,043.58x = 2,109,971,179.61
  5. Step 5: Solve for x
    x = 2,109,971,179.61/52,043.58
  6. Step 6: Final answer
    x = 40,542.39

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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.