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Finding the Fourth Proportional to 58,841.92, 81,201.78 and 31,984.36

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Solution

The fourth proportional to 58,841.92, 81,201.78 and 31,984.36 is: 44,138.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,841.92 : 81,201.78 = 31,984.36 : x
  2. Step 2: Convert to fraction form
    58,841.92/81,201.78 = 31,984.36/x
  3. Step 3: Cross multiply
    58,841.92x = 81,201.78 × 31,984.36
  4. Step 4: Simplify right side
    58,841.92x = 2,597,186,964.16
  5. Step 5: Solve for x
    x = 2,597,186,964.16/58,841.92
  6. Step 6: Final answer
    x = 44,138.38

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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.