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Finding the Fourth Proportional to 32,870, 45,361.32 and 17,966

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Solution

The fourth proportional to 32,870, 45,361.32 and 17,966 is: 24,793.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,870 : 45,361.32 = 17,966 : x
  2. Step 2: Convert to fraction form
    32,870/45,361.32 = 17,966/x
  3. Step 3: Cross multiply
    32,870x = 45,361.32 × 17,966
  4. Step 4: Simplify right side
    32,870x = 814,961,475.12
  5. Step 5: Solve for x
    x = 814,961,475.12/32,870
  6. Step 6: Final answer
    x = 24,793.47

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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.