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Finding the Fourth Proportional to 31,063.75, 46,596.71 and 10,286.71

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Solution

The fourth proportional to 31,063.75, 46,596.71 and 10,286.71 is: 15,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,063.75 : 46,596.71 = 10,286.71 : x
  2. Step 2: Convert to fraction form
    31,063.75/46,596.71 = 10,286.71/x
  3. Step 3: Cross multiply
    31,063.75x = 46,596.71 × 10,286.71
  4. Step 4: Simplify right side
    31,063.75x = 479,326,791.29
  5. Step 5: Solve for x
    x = 479,326,791.29/31,063.75
  6. Step 6: Final answer
    x = 15,430.42

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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.