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Finding the Fourth Proportional to 58,841.57, 81,201.86 and 31,984.08

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Solution

The fourth proportional to 58,841.57, 81,201.86 and 31,984.08 is: 44,138.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,841.57 : 81,201.86 = 31,984.08 : x
  2. Step 2: Convert to fraction form
    58,841.57/81,201.86 = 31,984.08/x
  3. Step 3: Cross multiply
    58,841.57x = 81,201.86 × 31,984.08
  4. Step 4: Simplify right side
    58,841.57x = 2,597,166,441.90
  5. Step 5: Solve for x
    x = 2,597,166,441.90/58,841.57
  6. Step 6: Final answer
    x = 44,138.29

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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.