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Finding the Fourth Proportional to 58,842.56, 81,204.52 and 36,194.84

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Solution

The fourth proportional to 58,842.56, 81,204.52 and 36,194.84 is: 49,949.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,842.56 : 81,204.52 = 36,194.84 : x
  2. Step 2: Convert to fraction form
    58,842.56/81,204.52 = 36,194.84/x
  3. Step 3: Cross multiply
    58,842.56x = 81,204.52 × 36,194.84
  4. Step 4: Simplify right side
    58,842.56x = 2,939,184,608.68
  5. Step 5: Solve for x
    x = 2,939,184,608.68/58,842.56
  6. Step 6: Final answer
    x = 49,949.98

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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.