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Finding the Fourth Proportional to 32,947.20, 45,467.16 and 17,839.98

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Solution

The fourth proportional to 32,947.20, 45,467.16 and 17,839.98 is: 24,619.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,947.20 : 45,467.16 = 17,839.98 : x
  2. Step 2: Convert to fraction form
    32,947.20/45,467.16 = 17,839.98/x
  3. Step 3: Cross multiply
    32,947.20x = 45,467.16 × 17,839.98
  4. Step 4: Simplify right side
    32,947.20x = 811,133,225.06
  5. Step 5: Solve for x
    x = 811,133,225.06/32,947.20
  6. Step 6: Final answer
    x = 24,619.19

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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.