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Finding the Fourth Proportional to 32,408.32, 48,619.80 and 9,920.96

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Solution

The fourth proportional to 32,408.32, 48,619.80 and 9,920.96 is: 14,883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,408.32 : 48,619.80 = 9,920.96 : x
  2. Step 2: Convert to fraction form
    32,408.32/48,619.80 = 9,920.96/x
  3. Step 3: Cross multiply
    32,408.32x = 48,619.80 × 9,920.96
  4. Step 4: Simplify right side
    32,408.32x = 482,355,091.01
  5. Step 5: Solve for x
    x = 482,355,091.01/32,408.32
  6. Step 6: Final answer
    x = 14,883.68

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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.