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Finding the Fourth Proportional to 36,598.12, 50,505.42 and 19,831

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Solution

The fourth proportional to 36,598.12, 50,505.42 and 19,831 is: 27,366.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,598.12 : 50,505.42 = 19,831 : x
  2. Step 2: Convert to fraction form
    36,598.12/50,505.42 = 19,831/x
  3. Step 3: Cross multiply
    36,598.12x = 50,505.42 × 19,831
  4. Step 4: Simplify right side
    36,598.12x = 1,001,572,984.02
  5. Step 5: Solve for x
    x = 1,001,572,984.02/36,598.12
  6. Step 6: Final answer
    x = 27,366.79

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