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Finding the Fourth Proportional to 31,149.16, 46,716.84 and 8,957.60

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Solution

The fourth proportional to 31,149.16, 46,716.84 and 8,957.60 is: 13,434.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,149.16 : 46,716.84 = 8,957.60 : x
  2. Step 2: Convert to fraction form
    31,149.16/46,716.84 = 8,957.60/x
  3. Step 3: Cross multiply
    31,149.16x = 46,716.84 × 8,957.60
  4. Step 4: Simplify right side
    31,149.16x = 418,470,765.98
  5. Step 5: Solve for x
    x = 418,470,765.98/31,149.16
  6. Step 6: Final answer
    x = 13,434.42

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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.