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Finding the Fourth Proportional to 29,054.84, 43,589.52 and 8,278.34

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Solution

The fourth proportional to 29,054.84, 43,589.52 and 8,278.34 is: 12,419.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,054.84 : 43,589.52 = 8,278.34 : x
  2. Step 2: Convert to fraction form
    29,054.84/43,589.52 = 8,278.34/x
  3. Step 3: Cross multiply
    29,054.84x = 43,589.52 × 8,278.34
  4. Step 4: Simplify right side
    29,054.84x = 360,848,649.05
  5. Step 5: Solve for x
    x = 360,848,649.05/29,054.84
  6. Step 6: Final answer
    x = 12,419.57

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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.