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Finding the Fourth Proportional to 102,757.44, 154,116.72 and 32,637.36

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Solution

The fourth proportional to 102,757.44, 154,116.72 and 32,637.36 is: 48,949.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,757.44 : 154,116.72 = 32,637.36 : x
  2. Step 2: Convert to fraction form
    102,757.44/154,116.72 = 32,637.36/x
  3. Step 3: Cross multiply
    102,757.44x = 154,116.72 × 32,637.36
  4. Step 4: Simplify right side
    102,757.44x = 5,029,962,872.66
  5. Step 5: Solve for x
    x = 5,029,962,872.66/102,757.44
  6. Step 6: Final answer
    x = 48,949.87

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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.