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Finding the Fourth Proportional to 132,568.47, 198,853.11 and 32,728.67

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Solution

The fourth proportional to 132,568.47, 198,853.11 and 32,728.67 is: 49,093.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,568.47 : 198,853.11 = 32,728.67 : x
  2. Step 2: Convert to fraction form
    132,568.47/198,853.11 = 32,728.67/x
  3. Step 3: Cross multiply
    132,568.47x = 198,853.11 × 32,728.67
  4. Step 4: Simplify right side
    132,568.47x = 6,508,197,733.84
  5. Step 5: Solve for x
    x = 6,508,197,733.84/132,568.47
  6. Step 6: Final answer
    x = 49,093.11

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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.