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Finding the Fourth Proportional to 31,893.03, 47,827.22 and 15,248.61

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Solution

The fourth proportional to 31,893.03, 47,827.22 and 15,248.61 is: 22,867.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,893.03 : 47,827.22 = 15,248.61 : x
  2. Step 2: Convert to fraction form
    31,893.03/47,827.22 = 15,248.61/x
  3. Step 3: Cross multiply
    31,893.03x = 47,827.22 × 15,248.61
  4. Step 4: Simplify right side
    31,893.03x = 729,298,548.92
  5. Step 5: Solve for x
    x = 729,298,548.92/31,893.03
  6. Step 6: Final answer
    x = 22,867.02

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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.