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Finding the Fourth Proportional to 117,896.82, 176,874.36 and 39,019.02

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Solution

The fourth proportional to 117,896.82, 176,874.36 and 39,019.02 is: 58,538.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,896.82 : 176,874.36 = 39,019.02 : x
  2. Step 2: Convert to fraction form
    117,896.82/176,874.36 = 39,019.02/x
  3. Step 3: Cross multiply
    117,896.82x = 176,874.36 × 39,019.02
  4. Step 4: Simplify right side
    117,896.82x = 6,901,464,190.33
  5. Step 5: Solve for x
    x = 6,901,464,190.33/117,896.82
  6. Step 6: Final answer
    x = 58,538.17

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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.