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Finding the Fourth Proportional to 48,776.96, 67,313.60 and 27,559.44

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Solution

The fourth proportional to 48,776.96, 67,313.60 and 27,559.44 is: 38,032.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,776.96 : 67,313.60 = 27,559.44 : x
  2. Step 2: Convert to fraction form
    48,776.96/67,313.60 = 27,559.44/x
  3. Step 3: Cross multiply
    48,776.96x = 67,313.60 × 27,559.44
  4. Step 4: Simplify right side
    48,776.96x = 1,855,125,120.38
  5. Step 5: Solve for x
    x = 1,855,125,120.38/48,776.96
  6. Step 6: Final answer
    x = 38,032.82

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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.