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Finding the Fourth Proportional to 31,554.60, 47,233.46 and 23,244

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Solution

The fourth proportional to 31,554.60, 47,233.46 and 23,244 is: 34,793.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,554.60 : 47,233.46 = 23,244 : x
  2. Step 2: Convert to fraction form
    31,554.60/47,233.46 = 23,244/x
  3. Step 3: Cross multiply
    31,554.60x = 47,233.46 × 23,244
  4. Step 4: Simplify right side
    31,554.60x = 1,097,894,544.24
  5. Step 5: Solve for x
    x = 1,097,894,544.24/31,554.60
  6. Step 6: Final answer
    x = 34,793.49

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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.