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Finding the Fourth Proportional to 126,523.38, 189,778.59 and 37,777.62

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Solution

The fourth proportional to 126,523.38, 189,778.59 and 37,777.62 is: 56,664.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,523.38 : 189,778.59 = 37,777.62 : x
  2. Step 2: Convert to fraction form
    126,523.38/189,778.59 = 37,777.62/x
  3. Step 3: Cross multiply
    126,523.38x = 189,778.59 × 37,777.62
  4. Step 4: Simplify right side
    126,523.38x = 7,169,383,457.16
  5. Step 5: Solve for x
    x = 7,169,383,457.16/126,523.38
  6. Step 6: Final answer
    x = 56,664.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.