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Finding the Fourth Proportional to 75,617.08, 113,278 and 55,589.64

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Solution

The fourth proportional to 75,617.08, 113,278 and 55,589.64 is: 83,275.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,617.08 : 113,278 = 55,589.64 : x
  2. Step 2: Convert to fraction form
    75,617.08/113,278 = 55,589.64/x
  3. Step 3: Cross multiply
    75,617.08x = 113,278 × 55,589.64
  4. Step 4: Simplify right side
    75,617.08x = 6,297,083,239.92
  5. Step 5: Solve for x
    x = 6,297,083,239.92/75,617.08
  6. Step 6: Final answer
    x = 83,275.94

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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.