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Finding the Fourth Proportional to 32,969.19, 45,497.22 and 18,822

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Solution

The fourth proportional to 32,969.19, 45,497.22 and 18,822 is: 25,974.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,969.19 : 45,497.22 = 18,822 : x
  2. Step 2: Convert to fraction form
    32,969.19/45,497.22 = 18,822/x
  3. Step 3: Cross multiply
    32,969.19x = 45,497.22 × 18,822
  4. Step 4: Simplify right side
    32,969.19x = 856,348,674.84
  5. Step 5: Solve for x
    x = 856,348,674.84/32,969.19
  6. Step 6: Final answer
    x = 25,974.21

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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.