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Finding the Fourth Proportional to 75,191.50, 112,794.87 and 27,819.10

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Solution

The fourth proportional to 75,191.50, 112,794.87 and 27,819.10 is: 41,731.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,191.50 : 112,794.87 = 27,819.10 : x
  2. Step 2: Convert to fraction form
    75,191.50/112,794.87 = 27,819.10/x
  3. Step 3: Cross multiply
    75,191.50x = 112,794.87 × 27,819.10
  4. Step 4: Simplify right side
    75,191.50x = 3,137,851,768.02
  5. Step 5: Solve for x
    x = 3,137,851,768.02/75,191.50
  6. Step 6: Final answer
    x = 41,731.47

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1.5x scale

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.