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Finding the Fourth Proportional to 48,612.48, 67,087.68 and 29,744

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Solution

The fourth proportional to 48,612.48, 67,087.68 and 29,744 is: 41,048.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,612.48 : 67,087.68 = 29,744 : x
  2. Step 2: Convert to fraction form
    48,612.48/67,087.68 = 29,744/x
  3. Step 3: Cross multiply
    48,612.48x = 67,087.68 × 29,744
  4. Step 4: Simplify right side
    48,612.48x = 1,995,455,953.92
  5. Step 5: Solve for x
    x = 1,995,455,953.92/48,612.48
  6. Step 6: Final answer
    x = 41,048.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.