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Finding the Fourth Proportional to 34,118.58, 51,177.87 and 13,327.50

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Solution

The fourth proportional to 34,118.58, 51,177.87 and 13,327.50 is: 19,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,118.58 : 51,177.87 = 13,327.50 : x
  2. Step 2: Convert to fraction form
    34,118.58/51,177.87 = 13,327.50/x
  3. Step 3: Cross multiply
    34,118.58x = 51,177.87 × 13,327.50
  4. Step 4: Simplify right side
    34,118.58x = 682,073,062.43
  5. Step 5: Solve for x
    x = 682,073,062.43/34,118.58
  6. Step 6: Final answer
    x = 19,991.25

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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.