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Finding the Fourth Proportional to 57,165.60, 85,751.76 and 22,105.44

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Solution

The fourth proportional to 57,165.60, 85,751.76 and 22,105.44 is: 33,159.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,165.60 : 85,751.76 = 22,105.44 : x
  2. Step 2: Convert to fraction form
    57,165.60/85,751.76 = 22,105.44/x
  3. Step 3: Cross multiply
    57,165.60x = 85,751.76 × 22,105.44
  4. Step 4: Simplify right side
    57,165.60x = 1,895,580,385.57
  5. Step 5: Solve for x
    x = 1,895,580,385.57/57,165.60
  6. Step 6: Final answer
    x = 33,159.46

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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.