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Finding the Fourth Proportional to 50,410.80, 69,570 and 33,385.32

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Solution

The fourth proportional to 50,410.80, 69,570 and 33,385.32 is: 46,073.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,410.80 : 69,570 = 33,385.32 : x
  2. Step 2: Convert to fraction form
    50,410.80/69,570 = 33,385.32/x
  3. Step 3: Cross multiply
    50,410.80x = 69,570 × 33,385.32
  4. Step 4: Simplify right side
    50,410.80x = 2,322,616,712.40
  5. Step 5: Solve for x
    x = 2,322,616,712.40/50,410.80
  6. Step 6: Final answer
    x = 46,073.79

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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.