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Finding the Fourth Proportional to 67,016.40, 100,519.72 and 27,038

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Solution

The fourth proportional to 67,016.40, 100,519.72 and 27,038 is: 40,555.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,016.40 : 100,519.72 = 27,038 : x
  2. Step 2: Convert to fraction form
    67,016.40/100,519.72 = 27,038/x
  3. Step 3: Cross multiply
    67,016.40x = 100,519.72 × 27,038
  4. Step 4: Simplify right side
    67,016.40x = 2,717,852,189.36
  5. Step 5: Solve for x
    x = 2,717,852,189.36/67,016.40
  6. Step 6: Final answer
    x = 40,555.03

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.