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Finding the Fourth Proportional to 47,600.68, 65,687.82 and 27,457.56

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Solution

The fourth proportional to 47,600.68, 65,687.82 and 27,457.56 is: 37,890.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,600.68 : 65,687.82 = 27,457.56 : x
  2. Step 2: Convert to fraction form
    47,600.68/65,687.82 = 27,457.56/x
  3. Step 3: Cross multiply
    47,600.68x = 65,687.82 × 27,457.56
  4. Step 4: Simplify right side
    47,600.68x = 1,803,627,258.92
  5. Step 5: Solve for x
    x = 1,803,627,258.92/47,600.68
  6. Step 6: Final answer
    x = 37,890.79

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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.