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Finding the Fourth Proportional to 107,624.20, 161,414.70 and 51,464.20

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Solution

The fourth proportional to 107,624.20, 161,414.70 and 51,464.20 is: 77,185.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,624.20 : 161,414.70 = 51,464.20 : x
  2. Step 2: Convert to fraction form
    107,624.20/161,414.70 = 51,464.20/x
  3. Step 3: Cross multiply
    107,624.20x = 161,414.70 × 51,464.20
  4. Step 4: Simplify right side
    107,624.20x = 8,307,078,403.74
  5. Step 5: Solve for x
    x = 8,307,078,403.74/107,624.20
  6. Step 6: Final answer
    x = 77,185.97

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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.