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Finding the Fourth Proportional to 102,843.60, 154,258.92 and 32,773.20

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Solution

The fourth proportional to 102,843.60, 154,258.92 and 32,773.20 is: 49,157.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,843.60 : 154,258.92 = 32,773.20 : x
  2. Step 2: Convert to fraction form
    102,843.60/154,258.92 = 32,773.20/x
  3. Step 3: Cross multiply
    102,843.60x = 154,258.92 × 32,773.20
  4. Step 4: Simplify right side
    102,843.60x = 5,055,558,436.94
  5. Step 5: Solve for x
    x = 5,055,558,436.94/102,843.60
  6. Step 6: Final answer
    x = 49,157.74

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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.