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Finding the Fourth Proportional to 58,841.72, 81,202.12 and 31,984.29

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Solution

The fourth proportional to 58,841.72, 81,202.12 and 31,984.29 is: 44,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,841.72 : 81,202.12 = 31,984.29 : x
  2. Step 2: Convert to fraction form
    58,841.72/81,202.12 = 31,984.29/x
  3. Step 3: Cross multiply
    58,841.72x = 81,202.12 × 31,984.29
  4. Step 4: Simplify right side
    58,841.72x = 2,597,191,994.77
  5. Step 5: Solve for x
    x = 2,597,191,994.77/58,841.72
  6. Step 6: Final answer
    x = 44,138.61

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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.