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Finding the Fourth Proportional to 38,496.73, 57,746.72 and 12,200.89

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Solution

The fourth proportional to 38,496.73, 57,746.72 and 12,200.89 is: 18,301.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,496.73 : 57,746.72 = 12,200.89 : x
  2. Step 2: Convert to fraction form
    38,496.73/57,746.72 = 12,200.89/x
  3. Step 3: Cross multiply
    38,496.73x = 57,746.72 × 12,200.89
  4. Step 4: Simplify right side
    38,496.73x = 704,561,378.58
  5. Step 5: Solve for x
    x = 704,561,378.58/38,496.73
  6. Step 6: Final answer
    x = 18,301.85

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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.