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Finding the Fourth Proportional to 32,443.65, 48,642.96 and 12,724.20

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Solution

The fourth proportional to 32,443.65, 48,642.96 and 12,724.20 is: 19,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,443.65 : 48,642.96 = 12,724.20 : x
  2. Step 2: Convert to fraction form
    32,443.65/48,642.96 = 12,724.20/x
  3. Step 3: Cross multiply
    32,443.65x = 48,642.96 × 12,724.20
  4. Step 4: Simplify right side
    32,443.65x = 618,942,751.63
  5. Step 5: Solve for x
    x = 618,942,751.63/32,443.65
  6. Step 6: Final answer
    x = 19,077.47

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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.