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Finding the Fourth Proportional to 48,885.75, 67,462.34 and 27,665.07

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Solution

The fourth proportional to 48,885.75, 67,462.34 and 27,665.07 is: 38,177.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,885.75 : 67,462.34 = 27,665.07 : x
  2. Step 2: Convert to fraction form
    48,885.75/67,462.34 = 27,665.07/x
  3. Step 3: Cross multiply
    48,885.75x = 67,462.34 × 27,665.07
  4. Step 4: Simplify right side
    48,885.75x = 1,866,349,967.15
  5. Step 5: Solve for x
    x = 1,866,349,967.15/48,885.75
  6. Step 6: Final answer
    x = 38,177.79

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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.