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Finding the Fourth Proportional to 73,884.53, 110,851.38 and 23,966.24

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Solution

The fourth proportional to 73,884.53, 110,851.38 and 23,966.24 is: 35,957.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,884.53 : 110,851.38 = 23,966.24 : x
  2. Step 2: Convert to fraction form
    73,884.53/110,851.38 = 23,966.24/x
  3. Step 3: Cross multiply
    73,884.53x = 110,851.38 × 23,966.24
  4. Step 4: Simplify right side
    73,884.53x = 2,656,690,777.41
  5. Step 5: Solve for x
    x = 2,656,690,777.41/73,884.53
  6. Step 6: Final answer
    x = 35,957.33

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Why These Related Problems?

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