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Finding the Fourth Proportional to 34,102.32, 51,161.04 and 13,326

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Solution

The fourth proportional to 34,102.32, 51,161.04 and 13,326 is: 19,991.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,102.32 : 51,161.04 = 13,326 : x
  2. Step 2: Convert to fraction form
    34,102.32/51,161.04 = 13,326/x
  3. Step 3: Cross multiply
    34,102.32x = 51,161.04 × 13,326
  4. Step 4: Simplify right side
    34,102.32x = 681,772,019.04
  5. Step 5: Solve for x
    x = 681,772,019.04/34,102.32
  6. Step 6: Final answer
    x = 19,991.95

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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.