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Finding the Fourth Proportional to 45,980.43, 68,976.05 and 16,402.47

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Solution

The fourth proportional to 45,980.43, 68,976.05 and 16,402.47 is: 24,605.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,980.43 : 68,976.05 = 16,402.47 : x
  2. Step 2: Convert to fraction form
    45,980.43/68,976.05 = 16,402.47/x
  3. Step 3: Cross multiply
    45,980.43x = 68,976.05 × 16,402.47
  4. Step 4: Simplify right side
    45,980.43x = 1,131,377,590.84
  5. Step 5: Solve for x
    x = 1,131,377,590.84/45,980.43
  6. Step 6: Final answer
    x = 24,605.63

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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.