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Finding the Fourth Proportional to 52,122.96, 71,929.65 and 28,249.62

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Solution

The fourth proportional to 52,122.96, 71,929.65 and 28,249.62 is: 38,984.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,122.96 : 71,929.65 = 28,249.62 : x
  2. Step 2: Convert to fraction form
    52,122.96/71,929.65 = 28,249.62/x
  3. Step 3: Cross multiply
    52,122.96x = 71,929.65 × 28,249.62
  4. Step 4: Simplify right side
    52,122.96x = 2,031,985,279.23
  5. Step 5: Solve for x
    x = 2,031,985,279.23/52,122.96
  6. Step 6: Final answer
    x = 38,984.46

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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.