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Finding the Fourth Proportional to 34,414.66, 47,491.32 and 19,306.06

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Solution

The fourth proportional to 34,414.66, 47,491.32 and 19,306.06 is: 26,641.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,414.66 : 47,491.32 = 19,306.06 : x
  2. Step 2: Convert to fraction form
    34,414.66/47,491.32 = 19,306.06/x
  3. Step 3: Cross multiply
    34,414.66x = 47,491.32 × 19,306.06
  4. Step 4: Simplify right side
    34,414.66x = 916,870,273.40
  5. Step 5: Solve for x
    x = 916,870,273.40/34,414.66
  6. Step 6: Final answer
    x = 26,641.85

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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.