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Finding the Fourth Proportional to 32,478, 48,682.08 and 13,753.68

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Solution

The fourth proportional to 32,478, 48,682.08 and 13,753.68 is: 20,615.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,478 : 48,682.08 = 13,753.68 : x
  2. Step 2: Convert to fraction form
    32,478/48,682.08 = 13,753.68/x
  3. Step 3: Cross multiply
    32,478x = 48,682.08 × 13,753.68
  4. Step 4: Simplify right side
    32,478x = 669,557,750.05
  5. Step 5: Solve for x
    x = 669,557,750.05/32,478
  6. Step 6: Final answer
    x = 20,615.73

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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.