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Finding the Fourth Proportional to 32,486.68, 48,729.30 and 9,112.51

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Solution

The fourth proportional to 32,486.68, 48,729.30 and 9,112.51 is: 13,668.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.68 : 48,729.30 = 9,112.51 : x
  2. Step 2: Convert to fraction form
    32,486.68/48,729.30 = 9,112.51/x
  3. Step 3: Cross multiply
    32,486.68x = 48,729.30 × 9,112.51
  4. Step 4: Simplify right side
    32,486.68x = 444,046,233.54
  5. Step 5: Solve for x
    x = 444,046,233.54/32,486.68
  6. Step 6: Final answer
    x = 13,668.56

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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.