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Finding the Fourth Proportional to 73,961, 110,941.50 and 24,713

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Solution

The fourth proportional to 73,961, 110,941.50 and 24,713 is: 37,069.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,961 : 110,941.50 = 24,713 : x
  2. Step 2: Convert to fraction form
    73,961/110,941.50 = 24,713/x
  3. Step 3: Cross multiply
    73,961x = 110,941.50 × 24,713
  4. Step 4: Simplify right side
    73,961x = 2,741,697,289.50
  5. Step 5: Solve for x
    x = 2,741,697,289.50/73,961
  6. Step 6: Final answer
    x = 37,069.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.