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Finding the Fourth Proportional to 34,054.66, 51,081.82 and 8,754.16

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Solution

The fourth proportional to 34,054.66, 51,081.82 and 8,754.16 is: 13,131.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,054.66 : 51,081.82 = 8,754.16 : x
  2. Step 2: Convert to fraction form
    34,054.66/51,081.82 = 8,754.16/x
  3. Step 3: Cross multiply
    34,054.66x = 51,081.82 × 8,754.16
  4. Step 4: Simplify right side
    34,054.66x = 447,178,425.37
  5. Step 5: Solve for x
    x = 447,178,425.37/34,054.66
  6. Step 6: Final answer
    x = 13,131.20

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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.