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Finding the Fourth Proportional to 73,922, 110,883.96 and 24,674

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Solution

The fourth proportional to 73,922, 110,883.96 and 24,674 is: 37,011.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,922 : 110,883.96 = 24,674 : x
  2. Step 2: Convert to fraction form
    73,922/110,883.96 = 24,674/x
  3. Step 3: Cross multiply
    73,922x = 110,883.96 × 24,674
  4. Step 4: Simplify right side
    73,922x = 2,735,950,829.04
  5. Step 5: Solve for x
    x = 2,735,950,829.04/73,922
  6. Step 6: Final answer
    x = 37,011.32

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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.