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Finding the Fourth Proportional to 69,283.16, 103,940.14 and 32,327

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Solution

The fourth proportional to 69,283.16, 103,940.14 and 32,327 is: 48,497.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,283.16 : 103,940.14 = 32,327 : x
  2. Step 2: Convert to fraction form
    69,283.16/103,940.14 = 32,327/x
  3. Step 3: Cross multiply
    69,283.16x = 103,940.14 × 32,327
  4. Step 4: Simplify right side
    69,283.16x = 3,360,072,905.78
  5. Step 5: Solve for x
    x = 3,360,072,905.78/69,283.16
  6. Step 6: Final answer
    x = 48,497.69

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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.