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Finding the Fourth Proportional to 48,761.70, 73,148.42 and 17,165.20

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Solution

The fourth proportional to 48,761.70, 73,148.42 and 17,165.20 is: 25,749.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,761.70 : 73,148.42 = 17,165.20 : x
  2. Step 2: Convert to fraction form
    48,761.70/73,148.42 = 17,165.20/x
  3. Step 3: Cross multiply
    48,761.70x = 73,148.42 × 17,165.20
  4. Step 4: Simplify right side
    48,761.70x = 1,255,607,356.03
  5. Step 5: Solve for x
    x = 1,255,607,356.03/48,761.70
  6. Step 6: Final answer
    x = 25,749.87

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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.