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Finding the Fourth Proportional to 50,505.16, 69,693.96 and 27,842.96

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Solution

The fourth proportional to 50,505.16, 69,693.96 and 27,842.96 is: 38,421.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,505.16 : 69,693.96 = 27,842.96 : x
  2. Step 2: Convert to fraction form
    50,505.16/69,693.96 = 27,842.96/x
  3. Step 3: Cross multiply
    50,505.16x = 69,693.96 × 27,842.96
  4. Step 4: Simplify right side
    50,505.16x = 1,940,486,140.52
  5. Step 5: Solve for x
    x = 1,940,486,140.52/50,505.16
  6. Step 6: Final answer
    x = 38,421.54

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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.