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Finding the Fourth Proportional to 31,775.62, 47,628.87 and 23,930.50

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Solution

The fourth proportional to 31,775.62, 47,628.87 and 23,930.50 is: 35,869.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,775.62 : 47,628.87 = 23,930.50 : x
  2. Step 2: Convert to fraction form
    31,775.62/47,628.87 = 23,930.50/x
  3. Step 3: Cross multiply
    31,775.62x = 47,628.87 × 23,930.50
  4. Step 4: Simplify right side
    31,775.62x = 1,139,782,673.54
  5. Step 5: Solve for x
    x = 1,139,782,673.54/31,775.62
  6. Step 6: Final answer
    x = 35,869.72

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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.