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Finding the Fourth Proportional to 73,962, 110,943 and 24,714

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Solution

The fourth proportional to 73,962, 110,943 and 24,714 is: 37,071

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,962 : 110,943 = 24,714 : x
  2. Step 2: Convert to fraction form
    73,962/110,943 = 24,714/x
  3. Step 3: Cross multiply
    73,962x = 110,943 × 24,714
  4. Step 4: Simplify right side
    73,962x = 2,741,845,302
  5. Step 5: Solve for x
    x = 2,741,845,302/73,962
  6. Step 6: Final answer
    x = 37,071

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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.