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Finding the Fourth Proportional to 52,064.97, 78,100.89 and 20,472.54

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Solution

The fourth proportional to 52,064.97, 78,100.89 and 20,472.54 is: 30,710.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,064.97 : 78,100.89 = 20,472.54 : x
  2. Step 2: Convert to fraction form
    52,064.97/78,100.89 = 20,472.54/x
  3. Step 3: Cross multiply
    52,064.97x = 78,100.89 × 20,472.54
  4. Step 4: Simplify right side
    52,064.97x = 1,598,923,594.56
  5. Step 5: Solve for x
    x = 1,598,923,594.56/52,064.97
  6. Step 6: Final answer
    x = 30,710.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.