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Finding the Fourth Proportional to 32,023.23, 48,034.74 and 8,649.68

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Solution

The fourth proportional to 32,023.23, 48,034.74 and 8,649.68 is: 12,974.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,023.23 : 48,034.74 = 8,649.68 : x
  2. Step 2: Convert to fraction form
    32,023.23/48,034.74 = 8,649.68/x
  3. Step 3: Cross multiply
    32,023.23x = 48,034.74 × 8,649.68
  4. Step 4: Simplify right side
    32,023.23x = 415,484,889.71
  5. Step 5: Solve for x
    x = 415,484,889.71/32,023.23
  6. Step 6: Final answer
    x = 12,974.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.