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Finding the Fourth Proportional to 48,778.96, 67,316.36 and 27,561.44

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Solution

The fourth proportional to 48,778.96, 67,316.36 and 27,561.44 is: 38,035.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,778.96 : 67,316.36 = 27,561.44 : x
  2. Step 2: Convert to fraction form
    48,778.96/67,316.36 = 27,561.44/x
  3. Step 3: Cross multiply
    48,778.96x = 67,316.36 × 27,561.44
  4. Step 4: Simplify right side
    48,778.96x = 1,855,335,817.16
  5. Step 5: Solve for x
    x = 1,855,335,817.16/48,778.96
  6. Step 6: Final answer
    x = 38,035.58

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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.