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Finding the Fourth Proportional to 47,465.40, 65,505.34 and 27,324.76

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Solution

The fourth proportional to 47,465.40, 65,505.34 and 27,324.76 is: 37,709.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,465.40 : 65,505.34 = 27,324.76 : x
  2. Step 2: Convert to fraction form
    47,465.40/65,505.34 = 27,324.76/x
  3. Step 3: Cross multiply
    47,465.40x = 65,505.34 × 27,324.76
  4. Step 4: Simplify right side
    47,465.40x = 1,789,917,694.22
  5. Step 5: Solve for x
    x = 1,789,917,694.22/47,465.40
  6. Step 6: Final answer
    x = 37,709.95

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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.