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Finding the Fourth Proportional to 31,849.25, 47,774.95 and 8,475.71

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Solution

The fourth proportional to 31,849.25, 47,774.95 and 8,475.71 is: 12,713.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,849.25 : 47,774.95 = 8,475.71 : x
  2. Step 2: Convert to fraction form
    31,849.25/47,774.95 = 8,475.71/x
  3. Step 3: Cross multiply
    31,849.25x = 47,774.95 × 8,475.71
  4. Step 4: Simplify right side
    31,849.25x = 404,926,361.40
  5. Step 5: Solve for x
    x = 404,926,361.40/31,849.25
  6. Step 6: Final answer
    x = 12,713.84

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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.