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Finding the Fourth Proportional to 31,309.79, 46,964.65 and 7,617.19

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Solution

The fourth proportional to 31,309.79, 46,964.65 and 7,617.19 is: 11,425.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,309.79 : 46,964.65 = 7,617.19 : x
  2. Step 2: Convert to fraction form
    31,309.79/46,964.65 = 7,617.19/x
  3. Step 3: Cross multiply
    31,309.79x = 46,964.65 × 7,617.19
  4. Step 4: Simplify right side
    31,309.79x = 357,738,662.33
  5. Step 5: Solve for x
    x = 357,738,662.33/31,309.79
  6. Step 6: Final answer
    x = 11,425.78

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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.