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Finding the Fourth Proportional to 49,808.16, 74,710.16 and 12,367.43

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Solution

The fourth proportional to 49,808.16, 74,710.16 and 12,367.43 is: 18,550.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,808.16 : 74,710.16 = 12,367.43 : x
  2. Step 2: Convert to fraction form
    49,808.16/74,710.16 = 12,367.43/x
  3. Step 3: Cross multiply
    49,808.16x = 74,710.16 × 12,367.43
  4. Step 4: Simplify right side
    49,808.16x = 923,972,238.70
  5. Step 5: Solve for x
    x = 923,972,238.70/49,808.16
  6. Step 6: Final answer
    x = 18,550.62

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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.