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Finding the Fourth Proportional to 52,757.92, 72,811.80 and 30,102.52

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Solution

The fourth proportional to 52,757.92, 72,811.80 and 30,102.52 is: 41,544.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,757.92 : 72,811.80 = 30,102.52 : x
  2. Step 2: Convert to fraction form
    52,757.92/72,811.80 = 30,102.52/x
  3. Step 3: Cross multiply
    52,757.92x = 72,811.80 × 30,102.52
  4. Step 4: Simplify right side
    52,757.92x = 2,191,818,665.74
  5. Step 5: Solve for x
    x = 2,191,818,665.74/52,757.92
  6. Step 6: Final answer
    x = 41,544.83

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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.