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Finding the Fourth Proportional to 31,523.53, 47,292.22 and 9,338.65

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Solution

The fourth proportional to 31,523.53, 47,292.22 and 9,338.65 is: 14,010.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,523.53 : 47,292.22 = 9,338.65 : x
  2. Step 2: Convert to fraction form
    31,523.53/47,292.22 = 9,338.65/x
  3. Step 3: Cross multiply
    31,523.53x = 47,292.22 × 9,338.65
  4. Step 4: Simplify right side
    31,523.53x = 441,645,490.30
  5. Step 5: Solve for x
    x = 441,645,490.30/31,523.53
  6. Step 6: Final answer
    x = 14,010.03

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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.