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Finding the Fourth Proportional to 32,947.33, 45,467.24 and 17,840

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Solution

The fourth proportional to 32,947.33, 45,467.24 and 17,840 is: 24,619.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.33 : 45,467.24 = 17,840 : x
  2. Step 2: Convert to fraction form
    32,947.33/45,467.24 = 17,840/x
  3. Step 3: Cross multiply
    32,947.33x = 45,467.24 × 17,840
  4. Step 4: Simplify right side
    32,947.33x = 811,135,561.60
  5. Step 5: Solve for x
    x = 811,135,561.60/32,947.33
  6. Step 6: Final answer
    x = 24,619.16

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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.