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Finding the Fourth Proportional to 58,906.38, 81,178.83 and 42,110.22

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Solution

The fourth proportional to 58,906.38, 81,178.83 and 42,110.22 is: 58,032.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,906.38 : 81,178.83 = 42,110.22 : x
  2. Step 2: Convert to fraction form
    58,906.38/81,178.83 = 42,110.22/x
  3. Step 3: Cross multiply
    58,906.38x = 81,178.83 × 42,110.22
  4. Step 4: Simplify right side
    58,906.38x = 3,418,458,390.64
  5. Step 5: Solve for x
    x = 3,418,458,390.64/58,906.38
  6. Step 6: Final answer
    x = 58,032.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.