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Finding the Fourth Proportional to 49,066.56, 67,709.52 and 27,842.94

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Solution

The fourth proportional to 49,066.56, 67,709.52 and 27,842.94 is: 38,421.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,066.56 : 67,709.52 = 27,842.94 : x
  2. Step 2: Convert to fraction form
    49,066.56/67,709.52 = 27,842.94/x
  3. Step 3: Cross multiply
    49,066.56x = 67,709.52 × 27,842.94
  4. Step 4: Simplify right side
    49,066.56x = 1,885,232,102.79
  5. Step 5: Solve for x
    x = 1,885,232,102.79/49,066.56
  6. Step 6: Final answer
    x = 38,421.93

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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.