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Finding the Fourth Proportional to 52,015.34, 71,781.18 and 28,141.94

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Solution

The fourth proportional to 52,015.34, 71,781.18 and 28,141.94 is: 38,835.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,015.34 : 71,781.18 = 28,141.94 : x
  2. Step 2: Convert to fraction form
    52,015.34/71,781.18 = 28,141.94/x
  3. Step 3: Cross multiply
    52,015.34x = 71,781.18 × 28,141.94
  4. Step 4: Simplify right side
    52,015.34x = 2,020,061,660.69
  5. Step 5: Solve for x
    x = 2,020,061,660.69/52,015.34
  6. Step 6: Final answer
    x = 38,835.88

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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.