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Finding the Fourth Proportional to 31,293.80, 46,935.80 and 10,233.67

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Solution

The fourth proportional to 31,293.80, 46,935.80 and 10,233.67 is: 15,348.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,293.80 : 46,935.80 = 10,233.67 : x
  2. Step 2: Convert to fraction form
    31,293.80/46,935.80 = 10,233.67/x
  3. Step 3: Cross multiply
    31,293.80x = 46,935.80 × 10,233.67
  4. Step 4: Simplify right side
    31,293.80x = 480,325,202.54
  5. Step 5: Solve for x
    x = 480,325,202.54/31,293.80
  6. Step 6: Final answer
    x = 15,348.89

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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.