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Finding the Fourth Proportional to 34,034.25, 51,051.39 and 13,272.33

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Solution

The fourth proportional to 34,034.25, 51,051.39 and 13,272.33 is: 19,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,034.25 : 51,051.39 = 13,272.33 : x
  2. Step 2: Convert to fraction form
    34,034.25/51,051.39 = 13,272.33/x
  3. Step 3: Cross multiply
    34,034.25x = 51,051.39 × 13,272.33
  4. Step 4: Simplify right side
    34,034.25x = 677,570,895.04
  5. Step 5: Solve for x
    x = 677,570,895.04/34,034.25
  6. Step 6: Final answer
    x = 19,908.50

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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.