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Finding the Fourth Proportional to 32,184.72, 44,425.80 and 20,268

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Solution

The fourth proportional to 32,184.72, 44,425.80 and 20,268 is: 27,976.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,184.72 : 44,425.80 = 20,268 : x
  2. Step 2: Convert to fraction form
    32,184.72/44,425.80 = 20,268/x
  3. Step 3: Cross multiply
    32,184.72x = 44,425.80 × 20,268
  4. Step 4: Simplify right side
    32,184.72x = 900,422,114.40
  5. Step 5: Solve for x
    x = 900,422,114.40/32,184.72
  6. Step 6: Final answer
    x = 27,976.70

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.