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Finding the Fourth Proportional to 52,052.92, 71,832.42 and 28,179.06

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Solution

The fourth proportional to 52,052.92, 71,832.42 and 28,179.06 is: 38,886.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,052.92 : 71,832.42 = 28,179.06 : x
  2. Step 2: Convert to fraction form
    52,052.92/71,832.42 = 28,179.06/x
  3. Step 3: Cross multiply
    52,052.92x = 71,832.42 × 28,179.06
  4. Step 4: Simplify right side
    52,052.92x = 2,024,170,073.13
  5. Step 5: Solve for x
    x = 2,024,170,073.13/52,052.92
  6. Step 6: Final answer
    x = 38,886.77

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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.