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Finding the Fourth Proportional to 32,726, 45,162.24 and 17,822

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Solution

The fourth proportional to 32,726, 45,162.24 and 17,822 is: 24,594.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,726 : 45,162.24 = 17,822 : x
  2. Step 2: Convert to fraction form
    32,726/45,162.24 = 17,822/x
  3. Step 3: Cross multiply
    32,726x = 45,162.24 × 17,822
  4. Step 4: Simplify right side
    32,726x = 804,881,441.28
  5. Step 5: Solve for x
    x = 804,881,441.28/32,726
  6. Step 6: Final answer
    x = 24,594.56

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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.