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Finding the Fourth Proportional to 34,008, 51,024.96 and 13,233.12

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Solution

The fourth proportional to 34,008, 51,024.96 and 13,233.12 is: 19,854.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,008 : 51,024.96 = 13,233.12 : x
  2. Step 2: Convert to fraction form
    34,008/51,024.96 = 13,233.12/x
  3. Step 3: Cross multiply
    34,008x = 51,024.96 × 13,233.12
  4. Step 4: Simplify right side
    34,008x = 675,219,418.68
  5. Step 5: Solve for x
    x = 675,219,418.68/34,008
  6. Step 6: Final answer
    x = 19,854.72

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Why These Related Problems?

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