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Finding the Fourth Proportional to 31,874.96, 47,812.37 and 15,184.37

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Solution

The fourth proportional to 31,874.96, 47,812.37 and 15,184.37 is: 22,776.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,874.96 : 47,812.37 = 15,184.37 : x
  2. Step 2: Convert to fraction form
    31,874.96/47,812.37 = 15,184.37/x
  3. Step 3: Cross multiply
    31,874.96x = 47,812.37 × 15,184.37
  4. Step 4: Simplify right side
    31,874.96x = 726,000,401.67
  5. Step 5: Solve for x
    x = 726,000,401.67/31,874.96
  6. Step 6: Final answer
    x = 22,776.52

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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.