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Finding the Fourth Proportional to 31,665.94, 47,481.37 and 12,959.12

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Solution

The fourth proportional to 31,665.94, 47,481.37 and 12,959.12 is: 19,431.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,665.94 : 47,481.37 = 12,959.12 : x
  2. Step 2: Convert to fraction form
    31,665.94/47,481.37 = 12,959.12/x
  3. Step 3: Cross multiply
    31,665.94x = 47,481.37 × 12,959.12
  4. Step 4: Simplify right side
    31,665.94x = 615,316,771.59
  5. Step 5: Solve for x
    x = 615,316,771.59/31,665.94
  6. Step 6: Final answer
    x = 19,431.50

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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.