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Finding the Fourth Proportional to 34,141.94, 47,123.44 and 22,184.52

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Solution

The fourth proportional to 34,141.94, 47,123.44 and 22,184.52 is: 30,619.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,141.94 : 47,123.44 = 22,184.52 : x
  2. Step 2: Convert to fraction form
    34,141.94/47,123.44 = 22,184.52/x
  3. Step 3: Cross multiply
    34,141.94x = 47,123.44 × 22,184.52
  4. Step 4: Simplify right side
    34,141.94x = 1,045,410,664.97
  5. Step 5: Solve for x
    x = 1,045,410,664.97/34,141.94
  6. Step 6: Final answer
    x = 30,619.55

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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.