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Finding the Fourth Proportional to 31,208.47, 46,805.78 and 9,016.99

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Solution

The fourth proportional to 31,208.47, 46,805.78 and 9,016.99 is: 13,523.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,208.47 : 46,805.78 = 9,016.99 : x
  2. Step 2: Convert to fraction form
    31,208.47/46,805.78 = 9,016.99/x
  3. Step 3: Cross multiply
    31,208.47x = 46,805.78 × 9,016.99
  4. Step 4: Simplify right side
    31,208.47x = 422,047,205.12
  5. Step 5: Solve for x
    x = 422,047,205.12/31,208.47
  6. Step 6: Final answer
    x = 13,523.48

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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.