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Finding the Fourth Proportional to 49,509.44, 74,283.60 and 21,788

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Solution

The fourth proportional to 49,509.44, 74,283.60 and 21,788 is: 32,690.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.44 : 74,283.60 = 21,788 : x
  2. Step 2: Convert to fraction form
    49,509.44/74,283.60 = 21,788/x
  3. Step 3: Cross multiply
    49,509.44x = 74,283.60 × 21,788
  4. Step 4: Simplify right side
    49,509.44x = 1,618,491,076.80
  5. Step 5: Solve for x
    x = 1,618,491,076.80/49,509.44
  6. Step 6: Final answer
    x = 32,690.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.