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Finding the Fourth Proportional to 48,914.76, 67,502.16 and 27,693.48

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Solution

The fourth proportional to 48,914.76, 67,502.16 and 27,693.48 is: 38,216.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,914.76 : 67,502.16 = 27,693.48 : x
  2. Step 2: Convert to fraction form
    48,914.76/67,502.16 = 27,693.48/x
  3. Step 3: Cross multiply
    48,914.76x = 67,502.16 × 27,693.48
  4. Step 4: Simplify right side
    48,914.76x = 1,869,369,717.92
  5. Step 5: Solve for x
    x = 1,869,369,717.92/48,914.76
  6. Step 6: Final answer
    x = 38,216.88

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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.