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Finding the Fourth Proportional to 31,306.52, 46,958.16 and 7,933.16

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Solution

The fourth proportional to 31,306.52, 46,958.16 and 7,933.16 is: 11,899.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,306.52 : 46,958.16 = 7,933.16 : x
  2. Step 2: Convert to fraction form
    31,306.52/46,958.16 = 7,933.16/x
  3. Step 3: Cross multiply
    31,306.52x = 46,958.16 × 7,933.16
  4. Step 4: Simplify right side
    31,306.52x = 372,526,596.59
  5. Step 5: Solve for x
    x = 372,526,596.59/31,306.52
  6. Step 6: Final answer
    x = 11,899.33

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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.