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Finding the Fourth Proportional to 102,874.60, 154,278.62 and 32,737.48

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Solution

The fourth proportional to 102,874.60, 154,278.62 and 32,737.48 is: 49,095.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,874.60 : 154,278.62 = 32,737.48 : x
  2. Step 2: Convert to fraction form
    102,874.60/154,278.62 = 32,737.48/x
  3. Step 3: Cross multiply
    102,874.60x = 154,278.62 × 32,737.48
  4. Step 4: Simplify right side
    102,874.60x = 5,050,693,236.68
  5. Step 5: Solve for x
    x = 5,050,693,236.68/102,874.60
  6. Step 6: Final answer
    x = 49,095.63

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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.