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Finding the Fourth Proportional to 52,233.44, 72,080.88 and 29,876

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Solution

The fourth proportional to 52,233.44, 72,080.88 and 29,876 is: 41,228.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,233.44 : 72,080.88 = 29,876 : x
  2. Step 2: Convert to fraction form
    52,233.44/72,080.88 = 29,876/x
  3. Step 3: Cross multiply
    52,233.44x = 72,080.88 × 29,876
  4. Step 4: Simplify right side
    52,233.44x = 2,153,488,370.88
  5. Step 5: Solve for x
    x = 2,153,488,370.88/52,233.44
  6. Step 6: Final answer
    x = 41,228.16

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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.