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Finding the Fourth Proportional to 52,046.57, 71,824.20 and 28,173.22

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Solution

The fourth proportional to 52,046.57, 71,824.20 and 28,173.22 is: 38,879.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,046.57 : 71,824.20 = 28,173.22 : x
  2. Step 2: Convert to fraction form
    52,046.57/71,824.20 = 28,173.22/x
  3. Step 3: Cross multiply
    52,046.57x = 71,824.20 × 28,173.22
  4. Step 4: Simplify right side
    52,046.57x = 2,023,518,987.92
  5. Step 5: Solve for x
    x = 2,023,518,987.92/52,046.57
  6. Step 6: Final answer
    x = 38,879.01

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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.