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Finding the Fourth Proportional to 89,846.64, 123,963.48 and 58,016.88

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Solution

The fourth proportional to 89,846.64, 123,963.48 and 58,016.88 is: 80,047.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,846.64 : 123,963.48 = 58,016.88 : x
  2. Step 2: Convert to fraction form
    89,846.64/123,963.48 = 58,016.88/x
  3. Step 3: Cross multiply
    89,846.64x = 123,963.48 × 58,016.88
  4. Step 4: Simplify right side
    89,846.64x = 7,191,974,343.54
  5. Step 5: Solve for x
    x = 7,191,974,343.54/89,846.64
  6. Step 6: Final answer
    x = 80,047.23

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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.