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Finding the Fourth Proportional to 83,333.48, 114,997.92 and 47,522.66

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Solution

The fourth proportional to 83,333.48, 114,997.92 and 47,522.66 is: 65,579.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,333.48 : 114,997.92 = 47,522.66 : x
  2. Step 2: Convert to fraction form
    83,333.48/114,997.92 = 47,522.66/x
  3. Step 3: Cross multiply
    83,333.48x = 114,997.92 × 47,522.66
  4. Step 4: Simplify right side
    83,333.48x = 5,465,007,052.87
  5. Step 5: Solve for x
    x = 5,465,007,052.87/83,333.48
  6. Step 6: Final answer
    x = 65,579.97

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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.