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Finding the Fourth Proportional to 106,449.20, 159,664.80 and 32,577.20

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Solution

The fourth proportional to 106,449.20, 159,664.80 and 32,577.20 is: 48,863.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,449.20 : 159,664.80 = 32,577.20 : x
  2. Step 2: Convert to fraction form
    106,449.20/159,664.80 = 32,577.20/x
  3. Step 3: Cross multiply
    106,449.20x = 159,664.80 × 32,577.20
  4. Step 4: Simplify right side
    106,449.20x = 5,201,432,122.56
  5. Step 5: Solve for x
    x = 5,201,432,122.56/106,449.20
  6. Step 6: Final answer
    x = 48,863.05

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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.