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Finding the Fourth Proportional to 67,097.40, 100,643.82 and 27,624.72

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Solution

The fourth proportional to 67,097.40, 100,643.82 and 27,624.72 is: 41,436.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,097.40 : 100,643.82 = 27,624.72 : x
  2. Step 2: Convert to fraction form
    67,097.40/100,643.82 = 27,624.72/x
  3. Step 3: Cross multiply
    67,097.40x = 100,643.82 × 27,624.72
  4. Step 4: Simplify right side
    67,097.40x = 2,780,257,347.23
  5. Step 5: Solve for x
    x = 2,780,257,347.23/67,097.40
  6. Step 6: Final answer
    x = 41,436.14

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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.