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Finding the Fourth Proportional to 48,414.73, 72,622.04 and 16,824.79

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Solution

The fourth proportional to 48,414.73, 72,622.04 and 16,824.79 is: 25,237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,414.73 : 72,622.04 = 16,824.79 : x
  2. Step 2: Convert to fraction form
    48,414.73/72,622.04 = 16,824.79/x
  3. Step 3: Cross multiply
    48,414.73x = 72,622.04 × 16,824.79
  4. Step 4: Simplify right side
    48,414.73x = 1,221,850,642.12
  5. Step 5: Solve for x
    x = 1,221,850,642.12/48,414.73
  6. Step 6: Final answer
    x = 25,237.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.