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Finding the Fourth Proportional to 50,313.34, 69,432.36 and 27,653.80

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Solution

The fourth proportional to 50,313.34, 69,432.36 and 27,653.80 is: 38,162.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,313.34 : 69,432.36 = 27,653.80 : x
  2. Step 2: Convert to fraction form
    50,313.34/69,432.36 = 27,653.80/x
  3. Step 3: Cross multiply
    50,313.34x = 69,432.36 × 27,653.80
  4. Step 4: Simplify right side
    50,313.34x = 1,920,068,596.97
  5. Step 5: Solve for x
    x = 1,920,068,596.97/50,313.34
  6. Step 6: Final answer
    x = 38,162.22

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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.