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Finding the Fourth Proportional to 48,840.98, 67,402.02 and 27,619.82

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Solution

The fourth proportional to 48,840.98, 67,402.02 and 27,619.82 is: 38,116.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,840.98 : 67,402.02 = 27,619.82 : x
  2. Step 2: Convert to fraction form
    48,840.98/67,402.02 = 27,619.82/x
  3. Step 3: Cross multiply
    48,840.98x = 67,402.02 × 27,619.82
  4. Step 4: Simplify right side
    48,840.98x = 1,861,631,660.04
  5. Step 5: Solve for x
    x = 1,861,631,660.04/48,840.98
  6. Step 6: Final answer
    x = 38,116.18

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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.