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Finding the Fourth Proportional to 87,704, 121,033.44 and 47,960

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Solution

The fourth proportional to 87,704, 121,033.44 and 47,960 is: 66,185.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,704 : 121,033.44 = 47,960 : x
  2. Step 2: Convert to fraction form
    87,704/121,033.44 = 47,960/x
  3. Step 3: Cross multiply
    87,704x = 121,033.44 × 47,960
  4. Step 4: Simplify right side
    87,704x = 5,804,763,782.40
  5. Step 5: Solve for x
    x = 5,804,763,782.40/87,704
  6. Step 6: Final answer
    x = 66,185.85

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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.