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Finding the Fourth Proportional to 47,477.66, 65,517.14 and 27,335.30

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Solution

The fourth proportional to 47,477.66, 65,517.14 and 27,335.30 is: 37,721.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,477.66 : 65,517.14 = 27,335.30 : x
  2. Step 2: Convert to fraction form
    47,477.66/65,517.14 = 27,335.30/x
  3. Step 3: Cross multiply
    47,477.66x = 65,517.14 × 27,335.30
  4. Step 4: Simplify right side
    47,477.66x = 1,790,930,417.79
  5. Step 5: Solve for x
    x = 1,790,930,417.79/47,477.66
  6. Step 6: Final answer
    x = 37,721.54

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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.