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Finding the Fourth Proportional to 31,525.33, 47,278.77 and 11,799.27

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Solution

The fourth proportional to 31,525.33, 47,278.77 and 11,799.27 is: 17,695.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,525.33 : 47,278.77 = 11,799.27 : x
  2. Step 2: Convert to fraction form
    31,525.33/47,278.77 = 11,799.27/x
  3. Step 3: Cross multiply
    31,525.33x = 47,278.77 × 11,799.27
  4. Step 4: Simplify right side
    31,525.33x = 557,854,972.50
  5. Step 5: Solve for x
    x = 557,854,972.50/31,525.33
  6. Step 6: Final answer
    x = 17,695.45

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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.