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Finding the Fourth Proportional to 32,305.34, 48,488 and 16,521.65

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Solution

The fourth proportional to 32,305.34, 48,488 and 16,521.65 is: 24,797.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,305.34 : 48,488 = 16,521.65 : x
  2. Step 2: Convert to fraction form
    32,305.34/48,488 = 16,521.65/x
  3. Step 3: Cross multiply
    32,305.34x = 48,488 × 16,521.65
  4. Step 4: Simplify right side
    32,305.34x = 801,101,765.20
  5. Step 5: Solve for x
    x = 801,101,765.20/32,305.34
  6. Step 6: Final answer
    x = 24,797.81

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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.