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Finding the Fourth Proportional to 48,776.96, 67,315.20 and 27,548.48

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Solution

The fourth proportional to 48,776.96, 67,315.20 and 27,548.48 is: 38,018.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,776.96 : 67,315.20 = 27,548.48 : x
  2. Step 2: Convert to fraction form
    48,776.96/67,315.20 = 27,548.48/x
  3. Step 3: Cross multiply
    48,776.96x = 67,315.20 × 27,548.48
  4. Step 4: Simplify right side
    48,776.96x = 1,854,431,440.90
  5. Step 5: Solve for x
    x = 1,854,431,440.90/48,776.96
  6. Step 6: Final answer
    x = 38,018.59

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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.