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Finding the Fourth Proportional to 75,563, 113,314.24 and 22,962.68

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Solution

The fourth proportional to 75,563, 113,314.24 and 22,962.68 is: 34,434.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,563 : 113,314.24 = 22,962.68 : x
  2. Step 2: Convert to fraction form
    75,563/113,314.24 = 22,962.68/x
  3. Step 3: Cross multiply
    75,563x = 113,314.24 × 22,962.68
  4. Step 4: Simplify right side
    75,563x = 2,601,998,632.56
  5. Step 5: Solve for x
    x = 2,601,998,632.56/75,563
  6. Step 6: Final answer
    x = 34,434.82

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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.