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Finding the Fourth Proportional to 69,828, 104,659.96 and 32,308.80

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Solution

The fourth proportional to 69,828, 104,659.96 and 32,308.80 is: 48,425.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,828 : 104,659.96 = 32,308.80 : x
  2. Step 2: Convert to fraction form
    69,828/104,659.96 = 32,308.80/x
  3. Step 3: Cross multiply
    69,828x = 104,659.96 × 32,308.80
  4. Step 4: Simplify right side
    69,828x = 3,381,437,715.65
  5. Step 5: Solve for x
    x = 3,381,437,715.65/69,828
  6. Step 6: Final answer
    x = 48,425.24

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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.