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Finding the Fourth Proportional to 32,914.30, 49,381.05 and 11,853.97

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Solution

The fourth proportional to 32,914.30, 49,381.05 and 11,853.97 is: 17,784.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,914.30 : 49,381.05 = 11,853.97 : x
  2. Step 2: Convert to fraction form
    32,914.30/49,381.05 = 11,853.97/x
  3. Step 3: Cross multiply
    32,914.30x = 49,381.05 × 11,853.97
  4. Step 4: Simplify right side
    32,914.30x = 585,361,485.27
  5. Step 5: Solve for x
    x = 585,361,485.27/32,914.30
  6. Step 6: Final answer
    x = 17,784.41

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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.