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Finding the Fourth Proportional to 52,015.77, 71,781.21 and 28,141.92

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Solution

The fourth proportional to 52,015.77, 71,781.21 and 28,141.92 is: 38,835.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,015.77 : 71,781.21 = 28,141.92 : x
  2. Step 2: Convert to fraction form
    52,015.77/71,781.21 = 28,141.92/x
  3. Step 3: Cross multiply
    52,015.77x = 71,781.21 × 28,141.92
  4. Step 4: Simplify right side
    52,015.77x = 2,020,061,069.32
  5. Step 5: Solve for x
    x = 2,020,061,069.32/52,015.77
  6. Step 6: Final answer
    x = 38,835.55

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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.