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Finding the Fourth Proportional to 32,034.24, 48,030.66 and 13,327.17

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Solution

The fourth proportional to 32,034.24, 48,030.66 and 13,327.17 is: 19,982.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,034.24 : 48,030.66 = 13,327.17 : x
  2. Step 2: Convert to fraction form
    32,034.24/48,030.66 = 13,327.17/x
  3. Step 3: Cross multiply
    32,034.24x = 48,030.66 × 13,327.17
  4. Step 4: Simplify right side
    32,034.24x = 640,112,771.03
  5. Step 5: Solve for x
    x = 640,112,771.03/32,034.24
  6. Step 6: Final answer
    x = 19,982.14

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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.