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Finding the Fourth Proportional to 47,908.40, 66,114.32 and 27,493.74

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Solution

The fourth proportional to 47,908.40, 66,114.32 and 27,493.74 is: 37,941.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,908.40 : 66,114.32 = 27,493.74 : x
  2. Step 2: Convert to fraction form
    47,908.40/66,114.32 = 27,493.74/x
  3. Step 3: Cross multiply
    47,908.40x = 66,114.32 × 27,493.74
  4. Step 4: Simplify right side
    47,908.40x = 1,817,729,786.89
  5. Step 5: Solve for x
    x = 1,817,729,786.89/47,908.40
  6. Step 6: Final answer
    x = 37,941.78

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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.