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Finding the Fourth Proportional to 102,974.80, 154,462.20 and 32,861.20

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Solution

The fourth proportional to 102,974.80, 154,462.20 and 32,861.20 is: 49,291.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,974.80 : 154,462.20 = 32,861.20 : x
  2. Step 2: Convert to fraction form
    102,974.80/154,462.20 = 32,861.20/x
  3. Step 3: Cross multiply
    102,974.80x = 154,462.20 × 32,861.20
  4. Step 4: Simplify right side
    102,974.80x = 5,075,813,246.64
  5. Step 5: Solve for x
    x = 5,075,813,246.64/102,974.80
  6. Step 6: Final answer
    x = 49,291.80

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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.