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Finding the Fourth Proportional to 102,778.39, 154,134.78 and 32,641.30

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Solution

The fourth proportional to 102,778.39, 154,134.78 and 32,641.30 is: 48,951.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,778.39 : 154,134.78 = 32,641.30 : x
  2. Step 2: Convert to fraction form
    102,778.39/154,134.78 = 32,641.30/x
  3. Step 3: Cross multiply
    102,778.39x = 154,134.78 × 32,641.30
  4. Step 4: Simplify right side
    102,778.39x = 5,031,159,431.21
  5. Step 5: Solve for x
    x = 5,031,159,431.21/102,778.39
  6. Step 6: Final answer
    x = 48,951.53

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.