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Finding the Fourth Proportional to 50,502.36, 69,693.26 and 27,841.74

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Solution

The fourth proportional to 50,502.36, 69,693.26 and 27,841.74 is: 38,421.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,502.36 : 69,693.26 = 27,841.74 : x
  2. Step 2: Convert to fraction form
    50,502.36/69,693.26 = 27,841.74/x
  3. Step 3: Cross multiply
    50,502.36x = 69,693.26 × 27,841.74
  4. Step 4: Simplify right side
    50,502.36x = 1,940,381,485.46
  5. Step 5: Solve for x
    x = 1,940,381,485.46/50,502.36
  6. Step 6: Final answer
    x = 38,421.60

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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.