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Finding the Fourth Proportional to 43,027.38, 59,380.42 and 24,164.50

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Solution

The fourth proportional to 43,027.38, 59,380.42 and 24,164.50 is: 33,348.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,027.38 : 59,380.42 = 24,164.50 : x
  2. Step 2: Convert to fraction form
    43,027.38/59,380.42 = 24,164.50/x
  3. Step 3: Cross multiply
    43,027.38x = 59,380.42 × 24,164.50
  4. Step 4: Simplify right side
    43,027.38x = 1,434,898,159.09
  5. Step 5: Solve for x
    x = 1,434,898,159.09/43,027.38
  6. Step 6: Final answer
    x = 33,348.49

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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.