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Finding the Fourth Proportional to 50,023.90, 75,008.14 and 20,462.49

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Solution

The fourth proportional to 50,023.90, 75,008.14 and 20,462.49 is: 30,682.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,023.90 : 75,008.14 = 20,462.49 : x
  2. Step 2: Convert to fraction form
    50,023.90/75,008.14 = 20,462.49/x
  3. Step 3: Cross multiply
    50,023.90x = 75,008.14 × 20,462.49
  4. Step 4: Simplify right side
    50,023.90x = 1,534,853,314.67
  5. Step 5: Solve for x
    x = 1,534,853,314.67/50,023.90
  6. Step 6: Final answer
    x = 30,682.40

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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.