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Finding the Fourth Proportional to 52,048.80, 71,827.26 and 28,175.46

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Solution

The fourth proportional to 52,048.80, 71,827.26 and 28,175.46 is: 38,882.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.80 : 71,827.26 = 28,175.46 : x
  2. Step 2: Convert to fraction form
    52,048.80/71,827.26 = 28,175.46/x
  3. Step 3: Cross multiply
    52,048.80x = 71,827.26 × 28,175.46
  4. Step 4: Simplify right side
    52,048.80x = 2,023,766,091.04
  5. Step 5: Solve for x
    x = 2,023,766,091.04/52,048.80
  6. Step 6: Final answer
    x = 38,882.09

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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.