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Finding the Fourth Proportional to 47,406.97, 65,417.39 and 27,258.49

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Solution

The fourth proportional to 47,406.97, 65,417.39 and 27,258.49 is: 37,614.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,406.97 : 65,417.39 = 27,258.49 : x
  2. Step 2: Convert to fraction form
    47,406.97/65,417.39 = 27,258.49/x
  3. Step 3: Cross multiply
    47,406.97x = 65,417.39 × 27,258.49
  4. Step 4: Simplify right side
    47,406.97x = 1,783,179,134.85
  5. Step 5: Solve for x
    x = 1,783,179,134.85/47,406.97
  6. Step 6: Final answer
    x = 37,614.28

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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.