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Finding the Fourth Proportional to 31,396.84, 47,095.30 and 8,023.30

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Solution

The fourth proportional to 31,396.84, 47,095.30 and 8,023.30 is: 12,034.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,396.84 : 47,095.30 = 8,023.30 : x
  2. Step 2: Convert to fraction form
    31,396.84/47,095.30 = 8,023.30/x
  3. Step 3: Cross multiply
    31,396.84x = 47,095.30 × 8,023.30
  4. Step 4: Simplify right side
    31,396.84x = 377,859,720.49
  5. Step 5: Solve for x
    x = 377,859,720.49/31,396.84
  6. Step 6: Final answer
    x = 12,034.96

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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.