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Finding the Fourth Proportional to 57,107.81, 78,844.52 and 36,698.15

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Solution

The fourth proportional to 57,107.81, 78,844.52 and 36,698.15 is: 50,666.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,107.81 : 78,844.52 = 36,698.15 : x
  2. Step 2: Convert to fraction form
    57,107.81/78,844.52 = 36,698.15/x
  3. Step 3: Cross multiply
    57,107.81x = 78,844.52 × 36,698.15
  4. Step 4: Simplify right side
    57,107.81x = 2,893,448,310.49
  5. Step 5: Solve for x
    x = 2,893,448,310.49/57,107.81
  6. Step 6: Final answer
    x = 50,666.42

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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.