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Finding the Fourth Proportional to 34,412.10, 47,443.22 and 22,454.66

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Solution

The fourth proportional to 34,412.10, 47,443.22 and 22,454.66 is: 30,957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,412.10 : 47,443.22 = 22,454.66 : x
  2. Step 2: Convert to fraction form
    34,412.10/47,443.22 = 22,454.66/x
  3. Step 3: Cross multiply
    34,412.10x = 47,443.22 × 22,454.66
  4. Step 4: Simplify right side
    34,412.10x = 1,065,321,374.41
  5. Step 5: Solve for x
    x = 1,065,321,374.41/34,412.10
  6. Step 6: Final answer
    x = 30,957.76

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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.