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Finding the Fourth Proportional to 32,947.68, 45,467.82 and 17,840.36

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Solution

The fourth proportional to 32,947.68, 45,467.82 and 17,840.36 is: 24,619.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.68 : 45,467.82 = 17,840.36 : x
  2. Step 2: Convert to fraction form
    32,947.68/45,467.82 = 17,840.36/x
  3. Step 3: Cross multiply
    32,947.68x = 45,467.82 × 17,840.36
  4. Step 4: Simplify right side
    32,947.68x = 811,162,277.22
  5. Step 5: Solve for x
    x = 811,162,277.22/32,947.68
  6. Step 6: Final answer
    x = 24,619.71

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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.