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Finding the Fourth Proportional to 73,711, 110,566.50 and 24,463

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Solution

The fourth proportional to 73,711, 110,566.50 and 24,463 is: 36,694.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,711 : 110,566.50 = 24,463 : x
  2. Step 2: Convert to fraction form
    73,711/110,566.50 = 24,463/x
  3. Step 3: Cross multiply
    73,711x = 110,566.50 × 24,463
  4. Step 4: Simplify right side
    73,711x = 2,704,788,289.50
  5. Step 5: Solve for x
    x = 2,704,788,289.50/73,711
  6. Step 6: Final answer
    x = 36,694.50

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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.