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Finding the Fourth Proportional to 103,195.83, 154,767.41 and 32,104.56

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Solution

The fourth proportional to 103,195.83, 154,767.41 and 32,104.56 is: 48,148.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,195.83 : 154,767.41 = 32,104.56 : x
  2. Step 2: Convert to fraction form
    103,195.83/154,767.41 = 32,104.56/x
  3. Step 3: Cross multiply
    103,195.83x = 154,767.41 × 32,104.56
  4. Step 4: Simplify right side
    103,195.83x = 4,968,739,600.39
  5. Step 5: Solve for x
    x = 4,968,739,600.39/103,195.83
  6. Step 6: Final answer
    x = 48,148.65

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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.