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Finding the Fourth Proportional to 69,121.92, 103,656.96 and 32,160

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Solution

The fourth proportional to 69,121.92, 103,656.96 and 32,160 is: 48,227.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,121.92 : 103,656.96 = 32,160 : x
  2. Step 2: Convert to fraction form
    69,121.92/103,656.96 = 32,160/x
  3. Step 3: Cross multiply
    69,121.92x = 103,656.96 × 32,160
  4. Step 4: Simplify right side
    69,121.92x = 3,333,607,833.60
  5. Step 5: Solve for x
    x = 3,333,607,833.60/69,121.92
  6. Step 6: Final answer
    x = 48,227.94

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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.