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Finding the Fourth Proportional to 34,034.56, 51,054.27 and 9,074.48

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Solution

The fourth proportional to 34,034.56, 51,054.27 and 9,074.48 is: 13,612.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,034.56 : 51,054.27 = 9,074.48 : x
  2. Step 2: Convert to fraction form
    34,034.56/51,054.27 = 9,074.48/x
  3. Step 3: Cross multiply
    34,034.56x = 51,054.27 × 9,074.48
  4. Step 4: Simplify right side
    34,034.56x = 463,290,662.73
  5. Step 5: Solve for x
    x = 463,290,662.73/34,034.56
  6. Step 6: Final answer
    x = 13,612.36

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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.