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Finding the Fourth Proportional to 32,801.20, 49,201.80 and 27,892.60

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Solution

The fourth proportional to 32,801.20, 49,201.80 and 27,892.60 is: 41,838.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,801.20 : 49,201.80 = 27,892.60 : x
  2. Step 2: Convert to fraction form
    32,801.20/49,201.80 = 27,892.60/x
  3. Step 3: Cross multiply
    32,801.20x = 49,201.80 × 27,892.60
  4. Step 4: Simplify right side
    32,801.20x = 1,372,366,126.68
  5. Step 5: Solve for x
    x = 1,372,366,126.68/32,801.20
  6. Step 6: Final answer
    x = 41,838.90

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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.