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Finding the Fourth Proportional to 48,295.53, 72,481.05 and 31,651.25

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Solution

The fourth proportional to 48,295.53, 72,481.05 and 31,651.25 is: 47,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,295.53 : 72,481.05 = 31,651.25 : x
  2. Step 2: Convert to fraction form
    48,295.53/72,481.05 = 31,651.25/x
  3. Step 3: Cross multiply
    48,295.53x = 72,481.05 × 31,651.25
  4. Step 4: Simplify right side
    48,295.53x = 2,294,115,471.41
  5. Step 5: Solve for x
    x = 2,294,115,471.41/48,295.53
  6. Step 6: Final answer
    x = 47,501.61

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Why These Related Problems?

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