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Finding the Fourth Proportional to 36,643.10, 54,964.65 and 32,414.90

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Solution

The fourth proportional to 36,643.10, 54,964.65 and 32,414.90 is: 48,622.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,643.10 : 54,964.65 = 32,414.90 : x
  2. Step 2: Convert to fraction form
    36,643.10/54,964.65 = 32,414.90/x
  3. Step 3: Cross multiply
    36,643.10x = 54,964.65 × 32,414.90
  4. Step 4: Simplify right side
    36,643.10x = 1,781,673,633.29
  5. Step 5: Solve for x
    x = 1,781,673,633.29/36,643.10
  6. Step 6: Final answer
    x = 48,622.35

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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.