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Finding the Fourth Proportional to 31,856.84, 47,773.74 and 10,793.48

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Solution

The fourth proportional to 31,856.84, 47,773.74 and 10,793.48 is: 16,186.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,856.84 : 47,773.74 = 10,793.48 : x
  2. Step 2: Convert to fraction form
    31,856.84/47,773.74 = 10,793.48/x
  3. Step 3: Cross multiply
    31,856.84x = 47,773.74 × 10,793.48
  4. Step 4: Simplify right side
    31,856.84x = 515,644,907.22
  5. Step 5: Solve for x
    x = 515,644,907.22/31,856.84
  6. Step 6: Final answer
    x = 16,186.32

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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.