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Finding the Fourth Proportional to 48,958.80, 67,558.50 and 27,738

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Solution

The fourth proportional to 48,958.80, 67,558.50 and 27,738 is: 38,275.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,958.80 : 67,558.50 = 27,738 : x
  2. Step 2: Convert to fraction form
    48,958.80/67,558.50 = 27,738/x
  3. Step 3: Cross multiply
    48,958.80x = 67,558.50 × 27,738
  4. Step 4: Simplify right side
    48,958.80x = 1,873,937,673
  5. Step 5: Solve for x
    x = 1,873,937,673/48,958.80
  6. Step 6: Final answer
    x = 38,275.81

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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.