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Finding the Fourth Proportional to 73,617.84, 101,589.12 and 41,782.50

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Solution

The fourth proportional to 73,617.84, 101,589.12 and 41,782.50 is: 57,657.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,617.84 : 101,589.12 = 41,782.50 : x
  2. Step 2: Convert to fraction form
    73,617.84/101,589.12 = 41,782.50/x
  3. Step 3: Cross multiply
    73,617.84x = 101,589.12 × 41,782.50
  4. Step 4: Simplify right side
    73,617.84x = 4,244,647,406.40
  5. Step 5: Solve for x
    x = 4,244,647,406.40/73,617.84
  6. Step 6: Final answer
    x = 57,657.86

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.