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Finding the Fourth Proportional to 83,292.80, 114,942.60 and 51,022.40

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Solution

The fourth proportional to 83,292.80, 114,942.60 and 51,022.40 is: 70,410.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,292.80 : 114,942.60 = 51,022.40 : x
  2. Step 2: Convert to fraction form
    83,292.80/114,942.60 = 51,022.40/x
  3. Step 3: Cross multiply
    83,292.80x = 114,942.60 × 51,022.40
  4. Step 4: Simplify right side
    83,292.80x = 5,864,647,314.24
  5. Step 5: Solve for x
    x = 5,864,647,314.24/83,292.80
  6. Step 6: Final answer
    x = 70,410.02

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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.