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Finding the Fourth Proportional to 31,216.96, 46,824.06 and 9,029.84

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Solution

The fourth proportional to 31,216.96, 46,824.06 and 9,029.84 is: 13,544.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,216.96 : 46,824.06 = 9,029.84 : x
  2. Step 2: Convert to fraction form
    31,216.96/46,824.06 = 9,029.84/x
  3. Step 3: Cross multiply
    31,216.96x = 46,824.06 × 9,029.84
  4. Step 4: Simplify right side
    31,216.96x = 422,813,769.95
  5. Step 5: Solve for x
    x = 422,813,769.95/31,216.96
  6. Step 6: Final answer
    x = 13,544.36

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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.