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Finding the Fourth Proportional to 38,133.72, 52,578.78 and 32,819.40

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Solution

The fourth proportional to 38,133.72, 52,578.78 and 32,819.40 is: 45,251.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,133.72 : 52,578.78 = 32,819.40 : x
  2. Step 2: Convert to fraction form
    38,133.72/52,578.78 = 32,819.40/x
  3. Step 3: Cross multiply
    38,133.72x = 52,578.78 × 32,819.40
  4. Step 4: Simplify right side
    38,133.72x = 1,725,604,012.33
  5. Step 5: Solve for x
    x = 1,725,604,012.33/38,133.72
  6. Step 6: Final answer
    x = 45,251.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.