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Finding the Fourth Proportional to 34,123.62, 47,069.19 and 23,494.80

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Solution

The fourth proportional to 34,123.62, 47,069.19 and 23,494.80 is: 32,408.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,123.62 : 47,069.19 = 23,494.80 : x
  2. Step 2: Convert to fraction form
    34,123.62/47,069.19 = 23,494.80/x
  3. Step 3: Cross multiply
    34,123.62x = 47,069.19 × 23,494.80
  4. Step 4: Simplify right side
    34,123.62x = 1,105,881,205.21
  5. Step 5: Solve for x
    x = 1,105,881,205.21/34,123.62
  6. Step 6: Final answer
    x = 32,408.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.