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Finding the Fourth Proportional to 35,509.92, 49,003.43 and 20,196.44

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Solution

The fourth proportional to 35,509.92, 49,003.43 and 20,196.44 is: 27,870.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,509.92 : 49,003.43 = 20,196.44 : x
  2. Step 2: Convert to fraction form
    35,509.92/49,003.43 = 20,196.44/x
  3. Step 3: Cross multiply
    35,509.92x = 49,003.43 × 20,196.44
  4. Step 4: Simplify right side
    35,509.92x = 989,694,855.32
  5. Step 5: Solve for x
    x = 989,694,855.32/35,509.92
  6. Step 6: Final answer
    x = 27,870.94

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1.5x scale

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.