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Finding the Fourth Proportional to 50,433.71, 69,597.95 and 27,772.25

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Solution

The fourth proportional to 50,433.71, 69,597.95 and 27,772.25 is: 38,325.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,433.71 : 69,597.95 = 27,772.25 : x
  2. Step 2: Convert to fraction form
    50,433.71/69,597.95 = 27,772.25/x
  3. Step 3: Cross multiply
    50,433.71x = 69,597.95 × 27,772.25
  4. Step 4: Simplify right side
    50,433.71x = 1,932,891,180.04
  5. Step 5: Solve for x
    x = 1,932,891,180.04/50,433.71
  6. Step 6: Final answer
    x = 38,325.39

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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.