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Finding the Fourth Proportional to 50,313.68, 69,433.28 and 27,653.12

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Solution

The fourth proportional to 50,313.68, 69,433.28 and 27,653.12 is: 38,161.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,313.68 : 69,433.28 = 27,653.12 : x
  2. Step 2: Convert to fraction form
    50,313.68/69,433.28 = 27,653.12/x
  3. Step 3: Cross multiply
    50,313.68x = 69,433.28 × 27,653.12
  4. Step 4: Simplify right side
    50,313.68x = 1,920,046,823.83
  5. Step 5: Solve for x
    x = 1,920,046,823.83/50,313.68
  6. Step 6: Final answer
    x = 38,161.53

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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.