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Finding the Fourth Proportional to 47,244.68, 65,192.20 and 27,096

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Solution

The fourth proportional to 47,244.68, 65,192.20 and 27,096 is: 37,389.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,244.68 : 65,192.20 = 27,096 : x
  2. Step 2: Convert to fraction form
    47,244.68/65,192.20 = 27,096/x
  3. Step 3: Cross multiply
    47,244.68x = 65,192.20 × 27,096
  4. Step 4: Simplify right side
    47,244.68x = 1,766,447,851.20
  5. Step 5: Solve for x
    x = 1,766,447,851.20/47,244.68
  6. Step 6: Final answer
    x = 37,389.35

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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.