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Finding the Fourth Proportional to 34,177.70, 51,266.55 and 20,123.30

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Solution

The fourth proportional to 34,177.70, 51,266.55 and 20,123.30 is: 30,184.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,177.70 : 51,266.55 = 20,123.30 : x
  2. Step 2: Convert to fraction form
    34,177.70/51,266.55 = 20,123.30/x
  3. Step 3: Cross multiply
    34,177.70x = 51,266.55 × 20,123.30
  4. Step 4: Simplify right side
    34,177.70x = 1,031,652,165.62
  5. Step 5: Solve for x
    x = 1,031,652,165.62/34,177.70
  6. Step 6: Final answer
    x = 30,184.95

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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.