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Finding the Fourth Proportional to 34,414.95, 47,494.62 and 19,306.83

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Solution

The fourth proportional to 34,414.95, 47,494.62 and 19,306.83 is: 26,644.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.95 : 47,494.62 = 19,306.83 : x
  2. Step 2: Convert to fraction form
    34,414.95/47,494.62 = 19,306.83/x
  3. Step 3: Cross multiply
    34,414.95x = 47,494.62 × 19,306.83
  4. Step 4: Simplify right side
    34,414.95x = 916,970,554.25
  5. Step 5: Solve for x
    x = 916,970,554.25/34,414.95
  6. Step 6: Final answer
    x = 26,644.54

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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.