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Finding the Fourth Proportional to 32,872.24, 45,324 and 22,809.28

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Solution

The fourth proportional to 32,872.24, 45,324 and 22,809.28 is: 31,449.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,872.24 : 45,324 = 22,809.28 : x
  2. Step 2: Convert to fraction form
    32,872.24/45,324 = 22,809.28/x
  3. Step 3: Cross multiply
    32,872.24x = 45,324 × 22,809.28
  4. Step 4: Simplify right side
    32,872.24x = 1,033,807,806.72
  5. Step 5: Solve for x
    x = 1,033,807,806.72/32,872.24
  6. Step 6: Final answer
    x = 31,449.27

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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.