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Finding the Fourth Proportional to 33,614.42, 50,421.92 and 9,598.66

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Solution

The fourth proportional to 33,614.42, 50,421.92 and 9,598.66 is: 14,398.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,614.42 : 50,421.92 = 9,598.66 : x
  2. Step 2: Convert to fraction form
    33,614.42/50,421.92 = 9,598.66/x
  3. Step 3: Cross multiply
    33,614.42x = 50,421.92 × 9,598.66
  4. Step 4: Simplify right side
    33,614.42x = 483,983,004.68
  5. Step 5: Solve for x
    x = 483,983,004.68/33,614.42
  6. Step 6: Final answer
    x = 14,398.08

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.