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Finding the Fourth Proportional to 110,307.17, 165,438.97 and 30,324.50

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Solution

The fourth proportional to 110,307.17, 165,438.97 and 30,324.50 is: 45,480.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,307.17 : 165,438.97 = 30,324.50 : x
  2. Step 2: Convert to fraction form
    110,307.17/165,438.97 = 30,324.50/x
  3. Step 3: Cross multiply
    110,307.17x = 165,438.97 × 30,324.50
  4. Step 4: Simplify right side
    110,307.17x = 5,016,853,763.16
  5. Step 5: Solve for x
    x = 5,016,853,763.16/110,307.17
  6. Step 6: Final answer
    x = 45,480.76

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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.