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Finding the Fourth Proportional to 31,846.66, 47,774.31 and 11,067.46

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Solution

The fourth proportional to 31,846.66, 47,774.31 and 11,067.46 is: 16,602.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.66 : 47,774.31 = 11,067.46 : x
  2. Step 2: Convert to fraction form
    31,846.66/47,774.31 = 11,067.46/x
  3. Step 3: Cross multiply
    31,846.66x = 47,774.31 × 11,067.46
  4. Step 4: Simplify right side
    31,846.66x = 528,740,264.95
  5. Step 5: Solve for x
    x = 528,740,264.95/31,846.66
  6. Step 6: Final answer
    x = 16,602.69

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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.