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Finding the Fourth Proportional to 32,165.78, 48,278.03 and 16,381.71

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Solution

The fourth proportional to 32,165.78, 48,278.03 and 16,381.71 is: 24,587.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,165.78 : 48,278.03 = 16,381.71 : x
  2. Step 2: Convert to fraction form
    32,165.78/48,278.03 = 16,381.71/x
  3. Step 3: Cross multiply
    32,165.78x = 48,278.03 × 16,381.71
  4. Step 4: Simplify right side
    32,165.78x = 790,876,604.92
  5. Step 5: Solve for x
    x = 790,876,604.92/32,165.78
  6. Step 6: Final answer
    x = 24,587.52

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1.5x scale

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.