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Finding the Fourth Proportional to 107,245, 160,867.50 and 41,581

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Solution

The fourth proportional to 107,245, 160,867.50 and 41,581 is: 62,371.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,245 : 160,867.50 = 41,581 : x
  2. Step 2: Convert to fraction form
    107,245/160,867.50 = 41,581/x
  3. Step 3: Cross multiply
    107,245x = 160,867.50 × 41,581
  4. Step 4: Simplify right side
    107,245x = 6,689,031,517.50
  5. Step 5: Solve for x
    x = 6,689,031,517.50/107,245
  6. Step 6: Final answer
    x = 62,371.50

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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.