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Finding the Fourth Proportional to 48,568.48, 67,023.76 and 27,347.68

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Solution

The fourth proportional to 48,568.48, 67,023.76 and 27,347.68 is: 37,739.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,568.48 : 67,023.76 = 27,347.68 : x
  2. Step 2: Convert to fraction form
    48,568.48/67,023.76 = 27,347.68/x
  3. Step 3: Cross multiply
    48,568.48x = 67,023.76 × 27,347.68
  4. Step 4: Simplify right side
    48,568.48x = 1,832,944,340.88
  5. Step 5: Solve for x
    x = 1,832,944,340.88/48,568.48
  6. Step 6: Final answer
    x = 37,739.38

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Why These Related Problems?

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