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Finding the Fourth Proportional to 31,016.70, 46,512.90 and 11,285.10

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Solution

The fourth proportional to 31,016.70, 46,512.90 and 11,285.10 is: 16,923.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,016.70 : 46,512.90 = 11,285.10 : x
  2. Step 2: Convert to fraction form
    31,016.70/46,512.90 = 11,285.10/x
  3. Step 3: Cross multiply
    31,016.70x = 46,512.90 × 11,285.10
  4. Step 4: Simplify right side
    31,016.70x = 524,902,727.79
  5. Step 5: Solve for x
    x = 524,902,727.79/31,016.70
  6. Step 6: Final answer
    x = 16,923.23

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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.