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Finding the Fourth Proportional to 36,697.80, 50,663.97 and 24,159

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Solution

The fourth proportional to 36,697.80, 50,663.97 and 24,159 is: 33,353.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,697.80 : 50,663.97 = 24,159 : x
  2. Step 2: Convert to fraction form
    36,697.80/50,663.97 = 24,159/x
  3. Step 3: Cross multiply
    36,697.80x = 50,663.97 × 24,159
  4. Step 4: Simplify right side
    36,697.80x = 1,223,990,851.23
  5. Step 5: Solve for x
    x = 1,223,990,851.23/36,697.80
  6. Step 6: Final answer
    x = 33,353.25

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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.