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Finding the Fourth Proportional to 32,947.27, 45,467.31 and 17,840.11

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Solution

The fourth proportional to 32,947.27, 45,467.31 and 17,840.11 is: 24,619.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.27 : 45,467.31 = 17,840.11 : x
  2. Step 2: Convert to fraction form
    32,947.27/45,467.31 = 17,840.11/x
  3. Step 3: Cross multiply
    32,947.27x = 45,467.31 × 17,840.11
  4. Step 4: Simplify right side
    32,947.27x = 811,141,811.80
  5. Step 5: Solve for x
    x = 811,141,811.80/32,947.27
  6. Step 6: Final answer
    x = 24,619.39

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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.