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Finding the Fourth Proportional to 52,079.38, 71,869.14 and 28,205.50

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Solution

The fourth proportional to 52,079.38, 71,869.14 and 28,205.50 is: 38,923.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,079.38 : 71,869.14 = 28,205.50 : x
  2. Step 2: Convert to fraction form
    52,079.38/71,869.14 = 28,205.50/x
  3. Step 3: Cross multiply
    52,079.38x = 71,869.14 × 28,205.50
  4. Step 4: Simplify right side
    52,079.38x = 2,027,105,028.27
  5. Step 5: Solve for x
    x = 2,027,105,028.27/52,079.38
  6. Step 6: Final answer
    x = 38,923.37

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1.5x scale

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.