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Finding the Fourth Proportional to 32,609.70, 48,917.56 and 10,120.52

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Solution

The fourth proportional to 32,609.70, 48,917.56 and 10,120.52 is: 15,181.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,609.70 : 48,917.56 = 10,120.52 : x
  2. Step 2: Convert to fraction form
    32,609.70/48,917.56 = 10,120.52/x
  3. Step 3: Cross multiply
    32,609.70x = 48,917.56 × 10,120.52
  4. Step 4: Simplify right side
    32,609.70x = 495,071,144.33
  5. Step 5: Solve for x
    x = 495,071,144.33/32,609.70
  6. Step 6: Final answer
    x = 15,181.71

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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.