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Finding the Fourth Proportional to 73,672, 110,508 and 24,424

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Solution

The fourth proportional to 73,672, 110,508 and 24,424 is: 36,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,672 : 110,508 = 24,424 : x
  2. Step 2: Convert to fraction form
    73,672/110,508 = 24,424/x
  3. Step 3: Cross multiply
    73,672x = 110,508 × 24,424
  4. Step 4: Simplify right side
    73,672x = 2,699,047,392
  5. Step 5: Solve for x
    x = 2,699,047,392/73,672
  6. Step 6: Final answer
    x = 36,636

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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.