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Finding the Fourth Proportional to 75,114.36, 112,667.22 and 22,524.84

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Solution

The fourth proportional to 75,114.36, 112,667.22 and 22,524.84 is: 33,785.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,114.36 : 112,667.22 = 22,524.84 : x
  2. Step 2: Convert to fraction form
    75,114.36/112,667.22 = 22,524.84/x
  3. Step 3: Cross multiply
    75,114.36x = 112,667.22 × 22,524.84
  4. Step 4: Simplify right side
    75,114.36x = 2,537,811,103.74
  5. Step 5: Solve for x
    x = 2,537,811,103.74/75,114.36
  6. Step 6: Final answer
    x = 33,785.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.