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Finding the Fourth Proportional to 58,842.77, 81,201.30 and 31,984.59

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Solution

The fourth proportional to 58,842.77, 81,201.30 and 31,984.59 is: 44,137.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.77 : 81,201.30 = 31,984.59 : x
  2. Step 2: Convert to fraction form
    58,842.77/81,201.30 = 31,984.59/x
  3. Step 3: Cross multiply
    58,842.77x = 81,201.30 × 31,984.59
  4. Step 4: Simplify right side
    58,842.77x = 2,597,190,195.69
  5. Step 5: Solve for x
    x = 2,597,190,195.69/58,842.77
  6. Step 6: Final answer
    x = 44,137.80

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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.