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Finding the Fourth Proportional to 37,361.84, 51,557.24 and 23,214.56

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Solution

The fourth proportional to 37,361.84, 51,557.24 and 23,214.56 is: 32,034.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,361.84 : 51,557.24 = 23,214.56 : x
  2. Step 2: Convert to fraction form
    37,361.84/51,557.24 = 23,214.56/x
  3. Step 3: Cross multiply
    37,361.84x = 51,557.24 × 23,214.56
  4. Step 4: Simplify right side
    37,361.84x = 1,196,878,641.41
  5. Step 5: Solve for x
    x = 1,196,878,641.41/37,361.84
  6. Step 6: Final answer
    x = 32,034.79

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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.