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Finding the Fourth Proportional to 102,964.80, 154,447.20 and 36,415.20

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Solution

The fourth proportional to 102,964.80, 154,447.20 and 36,415.20 is: 54,622.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,964.80 : 154,447.20 = 36,415.20 : x
  2. Step 2: Convert to fraction form
    102,964.80/154,447.20 = 36,415.20/x
  3. Step 3: Cross multiply
    102,964.80x = 154,447.20 × 36,415.20
  4. Step 4: Simplify right side
    102,964.80x = 5,624,225,677.44
  5. Step 5: Solve for x
    x = 5,624,225,677.44/102,964.80
  6. Step 6: Final answer
    x = 54,622.80

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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.