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Finding the Fourth Proportional to 32,067.96, 47,844.39 and 28,750.20

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Solution

The fourth proportional to 32,067.96, 47,844.39 and 28,750.20 is: 42,894.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,067.96 : 47,844.39 = 28,750.20 : x
  2. Step 2: Convert to fraction form
    32,067.96/47,844.39 = 28,750.20/x
  3. Step 3: Cross multiply
    32,067.96x = 47,844.39 × 28,750.20
  4. Step 4: Simplify right side
    32,067.96x = 1,375,535,781.38
  5. Step 5: Solve for x
    x = 1,375,535,781.38/32,067.96
  6. Step 6: Final answer
    x = 42,894.40

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.