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Finding the Fourth Proportional to 51,600.25, 77,404.02 and 20,435.50

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Solution

The fourth proportional to 51,600.25, 77,404.02 and 20,435.50 is: 30,654.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,600.25 : 77,404.02 = 20,435.50 : x
  2. Step 2: Convert to fraction form
    51,600.25/77,404.02 = 20,435.50/x
  3. Step 3: Cross multiply
    51,600.25x = 77,404.02 × 20,435.50
  4. Step 4: Simplify right side
    51,600.25x = 1,581,789,850.71
  5. Step 5: Solve for x
    x = 1,581,789,850.71/51,600.25
  6. Step 6: Final answer
    x = 30,654.69

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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.