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Finding the Fourth Proportional to 102,956.70, 154,435.05 and 36,396.30

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Solution

The fourth proportional to 102,956.70, 154,435.05 and 36,396.30 is: 54,594.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,956.70 : 154,435.05 = 36,396.30 : x
  2. Step 2: Convert to fraction form
    102,956.70/154,435.05 = 36,396.30/x
  3. Step 3: Cross multiply
    102,956.70x = 154,435.05 × 36,396.30
  4. Step 4: Simplify right side
    102,956.70x = 5,620,864,410.32
  5. Step 5: Solve for x
    x = 5,620,864,410.32/102,956.70
  6. Step 6: Final answer
    x = 54,594.45

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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.