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Finding the Fourth Proportional to 35,616, 49,150.96 and 19,700.80

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Solution

The fourth proportional to 35,616, 49,150.96 and 19,700.80 is: 27,187.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,616 : 49,150.96 = 19,700.80 : x
  2. Step 2: Convert to fraction form
    35,616/49,150.96 = 19,700.80/x
  3. Step 3: Cross multiply
    35,616x = 49,150.96 × 19,700.80
  4. Step 4: Simplify right side
    35,616x = 968,313,232.77
  5. Step 5: Solve for x
    x = 968,313,232.77/35,616
  6. Step 6: Final answer
    x = 27,187.59

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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.