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Finding the Fourth Proportional to 31,649.77, 47,432.73 and 16,826.77

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Solution

The fourth proportional to 31,649.77, 47,432.73 and 16,826.77 is: 25,217.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.77 : 47,432.73 = 16,826.77 : x
  2. Step 2: Convert to fraction form
    31,649.77/47,432.73 = 16,826.77/x
  3. Step 3: Cross multiply
    31,649.77x = 47,432.73 × 16,826.77
  4. Step 4: Simplify right side
    31,649.77x = 798,139,401.02
  5. Step 5: Solve for x
    x = 798,139,401.02/31,649.77
  6. Step 6: Final answer
    x = 25,217.86

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1.5x scale

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.