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Finding the Fourth Proportional to 32,023, 48,034.50 and 8,649.44

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Solution

The fourth proportional to 32,023, 48,034.50 and 8,649.44 is: 12,974.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023 : 48,034.50 = 8,649.44 : x
  2. Step 2: Convert to fraction form
    32,023/48,034.50 = 8,649.44/x
  3. Step 3: Cross multiply
    32,023x = 48,034.50 × 8,649.44
  4. Step 4: Simplify right side
    32,023x = 415,471,525.68
  5. Step 5: Solve for x
    x = 415,471,525.68/32,023
  6. Step 6: Final answer
    x = 12,974.16

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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.