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Finding the Fourth Proportional to 113,067, 169,612.11 and 29,961

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Solution

The fourth proportional to 113,067, 169,612.11 and 29,961 is: 44,944.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,067 : 169,612.11 = 29,961 : x
  2. Step 2: Convert to fraction form
    113,067/169,612.11 = 29,961/x
  3. Step 3: Cross multiply
    113,067x = 169,612.11 × 29,961
  4. Step 4: Simplify right side
    113,067x = 5,081,748,427.71
  5. Step 5: Solve for x
    x = 5,081,748,427.71/113,067
  6. Step 6: Final answer
    x = 44,944.58

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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.