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Finding the Fourth Proportional to 52,005, 71,767.08 and 28,131.78

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Solution

The fourth proportional to 52,005, 71,767.08 and 28,131.78 is: 38,821.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,005 : 71,767.08 = 28,131.78 : x
  2. Step 2: Convert to fraction form
    52,005/71,767.08 = 28,131.78/x
  3. Step 3: Cross multiply
    52,005x = 71,767.08 × 28,131.78
  4. Step 4: Simplify right side
    52,005x = 2,018,935,705.80
  5. Step 5: Solve for x
    x = 2,018,935,705.80/52,005
  6. Step 6: Final answer
    x = 38,821.95

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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.