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Finding the Fourth Proportional to 31,750.78, 47,620.08 and 15,951.58

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Solution

The fourth proportional to 31,750.78, 47,620.08 and 15,951.58 is: 23,924.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,750.78 : 47,620.08 = 15,951.58 : x
  2. Step 2: Convert to fraction form
    31,750.78/47,620.08 = 15,951.58/x
  3. Step 3: Cross multiply
    31,750.78x = 47,620.08 × 15,951.58
  4. Step 4: Simplify right side
    31,750.78x = 759,615,515.73
  5. Step 5: Solve for x
    x = 759,615,515.73/31,750.78
  6. Step 6: Final answer
    x = 23,924.31

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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.