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Finding the Fourth Proportional to 31,471.94, 47,159.31 and 15,900.50

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Solution

The fourth proportional to 31,471.94, 47,159.31 and 15,900.50 is: 23,826.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,471.94 : 47,159.31 = 15,900.50 : x
  2. Step 2: Convert to fraction form
    31,471.94/47,159.31 = 15,900.50/x
  3. Step 3: Cross multiply
    31,471.94x = 47,159.31 × 15,900.50
  4. Step 4: Simplify right side
    31,471.94x = 749,856,786.18
  5. Step 5: Solve for x
    x = 749,856,786.18/31,471.94
  6. Step 6: Final answer
    x = 23,826.20

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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.