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Finding the Fourth Proportional to 31,324.48, 47,007.68 and 11,603.22

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Solution

The fourth proportional to 31,324.48, 47,007.68 and 11,603.22 is: 17,412.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,324.48 : 47,007.68 = 11,603.22 : x
  2. Step 2: Convert to fraction form
    31,324.48/47,007.68 = 11,603.22/x
  3. Step 3: Cross multiply
    31,324.48x = 47,007.68 × 11,603.22
  4. Step 4: Simplify right side
    31,324.48x = 545,440,452.73
  5. Step 5: Solve for x
    x = 545,440,452.73/31,324.48
  6. Step 6: Final answer
    x = 17,412.59

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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.