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Finding the Fourth Proportional to 47,660.24, 65,763.72 and 27,242

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Solution

The fourth proportional to 47,660.24, 65,763.72 and 27,242 is: 37,589.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,660.24 : 65,763.72 = 27,242 : x
  2. Step 2: Convert to fraction form
    47,660.24/65,763.72 = 27,242/x
  3. Step 3: Cross multiply
    47,660.24x = 65,763.72 × 27,242
  4. Step 4: Simplify right side
    47,660.24x = 1,791,535,260.24
  5. Step 5: Solve for x
    x = 1,791,535,260.24/47,660.24
  6. Step 6: Final answer
    x = 37,589.72

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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.