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Finding the Fourth Proportional to 52,048.92, 71,827.11 and 28,175.88

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Solution

The fourth proportional to 52,048.92, 71,827.11 and 28,175.88 is: 38,882.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,048.92 : 71,827.11 = 28,175.88 : x
  2. Step 2: Convert to fraction form
    52,048.92/71,827.11 = 28,175.88/x
  3. Step 3: Cross multiply
    52,048.92x = 71,827.11 × 28,175.88
  4. Step 4: Simplify right side
    52,048.92x = 2,023,792,032.11
  5. Step 5: Solve for x
    x = 2,023,792,032.11/52,048.92
  6. Step 6: Final answer
    x = 38,882.50

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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.