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Finding the Fourth Proportional to 50,404.88, 75,601.56 and 13,466

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Solution

The fourth proportional to 50,404.88, 75,601.56 and 13,466 is: 20,197.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,404.88 : 75,601.56 = 13,466 : x
  2. Step 2: Convert to fraction form
    50,404.88/75,601.56 = 13,466/x
  3. Step 3: Cross multiply
    50,404.88x = 75,601.56 × 13,466
  4. Step 4: Simplify right side
    50,404.88x = 1,018,050,606.96
  5. Step 5: Solve for x
    x = 1,018,050,606.96/50,404.88
  6. Step 6: Final answer
    x = 20,197.46

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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.