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Finding the Fourth Proportional to 32,175.42, 48,278.49 and 11,408.70

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Solution

The fourth proportional to 32,175.42, 48,278.49 and 11,408.70 is: 17,118.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,175.42 : 48,278.49 = 11,408.70 : x
  2. Step 2: Convert to fraction form
    32,175.42/48,278.49 = 11,408.70/x
  3. Step 3: Cross multiply
    32,175.42x = 48,278.49 × 11,408.70
  4. Step 4: Simplify right side
    32,175.42x = 550,794,808.86
  5. Step 5: Solve for x
    x = 550,794,808.86/32,175.42
  6. Step 6: Final answer
    x = 17,118.50

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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.