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Finding the Fourth Proportional to 31,844.04, 47,766 and 8,470.49

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Solution

The fourth proportional to 31,844.04, 47,766 and 8,470.49 is: 12,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,844.04 : 47,766 = 8,470.49 : x
  2. Step 2: Convert to fraction form
    31,844.04/47,766 = 8,470.49/x
  3. Step 3: Cross multiply
    31,844.04x = 47,766 × 8,470.49
  4. Step 4: Simplify right side
    31,844.04x = 404,601,186.51
  5. Step 5: Solve for x
    x = 404,601,186.51/31,844.04
  6. Step 6: Final answer
    x = 12,705.71

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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.