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Finding the Fourth Proportional to 56,764.80, 85,147.20 and 27,167.40

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Solution

The fourth proportional to 56,764.80, 85,147.20 and 27,167.40 is: 40,751.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,764.80 : 85,147.20 = 27,167.40 : x
  2. Step 2: Convert to fraction form
    56,764.80/85,147.20 = 27,167.40/x
  3. Step 3: Cross multiply
    56,764.80x = 85,147.20 × 27,167.40
  4. Step 4: Simplify right side
    56,764.80x = 2,313,228,041.28
  5. Step 5: Solve for x
    x = 2,313,228,041.28/56,764.80
  6. Step 6: Final answer
    x = 40,751.10

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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.