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Finding the Fourth Proportional to 31,550.60, 47,227.46 and 23,240

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Solution

The fourth proportional to 31,550.60, 47,227.46 and 23,240 is: 34,787.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,550.60 : 47,227.46 = 23,240 : x
  2. Step 2: Convert to fraction form
    31,550.60/47,227.46 = 23,240/x
  3. Step 3: Cross multiply
    31,550.60x = 47,227.46 × 23,240
  4. Step 4: Simplify right side
    31,550.60x = 1,097,566,170.40
  5. Step 5: Solve for x
    x = 1,097,566,170.40/31,550.60
  6. Step 6: Final answer
    x = 34,787.49

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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.