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Finding the Fourth Proportional to 67,048, 100,584.96 and 25,491.76

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Solution

The fourth proportional to 67,048, 100,584.96 and 25,491.76 is: 38,242.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,048 : 100,584.96 = 25,491.76 : x
  2. Step 2: Convert to fraction form
    67,048/100,584.96 = 25,491.76/x
  3. Step 3: Cross multiply
    67,048x = 100,584.96 × 25,491.76
  4. Step 4: Simplify right side
    67,048x = 2,564,087,659.93
  5. Step 5: Solve for x
    x = 2,564,087,659.93/67,048
  6. Step 6: Final answer
    x = 38,242.57

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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.