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Finding the Fourth Proportional to 52,118.16, 71,922.78 and 28,244.22

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Solution

The fourth proportional to 52,118.16, 71,922.78 and 28,244.22 is: 38,976.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,118.16 : 71,922.78 = 28,244.22 : x
  2. Step 2: Convert to fraction form
    52,118.16/71,922.78 = 28,244.22/x
  3. Step 3: Cross multiply
    52,118.16x = 71,922.78 × 28,244.22
  4. Step 4: Simplify right side
    52,118.16x = 2,031,402,821.33
  5. Step 5: Solve for x
    x = 2,031,402,821.33/52,118.16
  6. Step 6: Final answer
    x = 38,976.87

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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.