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Finding the Fourth Proportional to 31,511.80, 47,267.70 and 30,442.60

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Solution

The fourth proportional to 31,511.80, 47,267.70 and 30,442.60 is: 45,663.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,511.80 : 47,267.70 = 30,442.60 : x
  2. Step 2: Convert to fraction form
    31,511.80/47,267.70 = 30,442.60/x
  3. Step 3: Cross multiply
    31,511.80x = 47,267.70 × 30,442.60
  4. Step 4: Simplify right side
    31,511.80x = 1,438,951,684.02
  5. Step 5: Solve for x
    x = 1,438,951,684.02/31,511.80
  6. Step 6: Final answer
    x = 45,663.90

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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.