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Finding the Fourth Proportional to 31,357.56, 47,037.42 and 15,766.68

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Solution

The fourth proportional to 31,357.56, 47,037.42 and 15,766.68 is: 23,650.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,357.56 : 47,037.42 = 15,766.68 : x
  2. Step 2: Convert to fraction form
    31,357.56/47,037.42 = 15,766.68/x
  3. Step 3: Cross multiply
    31,357.56x = 47,037.42 × 15,766.68
  4. Step 4: Simplify right side
    31,357.56x = 741,623,949.17
  5. Step 5: Solve for x
    x = 741,623,949.17/31,357.56
  6. Step 6: Final answer
    x = 23,650.56

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.