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Finding the Fourth Proportional to 32,304.34, 48,486.49 and 16,520.65

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Solution

The fourth proportional to 32,304.34, 48,486.49 and 16,520.65 is: 24,796.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,304.34 : 48,486.49 = 16,520.65 : x
  2. Step 2: Convert to fraction form
    32,304.34/48,486.49 = 16,520.65/x
  3. Step 3: Cross multiply
    32,304.34x = 48,486.49 × 16,520.65
  4. Step 4: Simplify right side
    32,304.34x = 801,028,374.25
  5. Step 5: Solve for x
    x = 801,028,374.25/32,304.34
  6. Step 6: Final answer
    x = 24,796.31

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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.