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Finding the Fourth Proportional to 55,643.40, 83,529.90 and 33,481.80

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Solution

The fourth proportional to 55,643.40, 83,529.90 and 33,481.80 is: 50,261.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,643.40 : 83,529.90 = 33,481.80 : x
  2. Step 2: Convert to fraction form
    55,643.40/83,529.90 = 33,481.80/x
  3. Step 3: Cross multiply
    55,643.40x = 83,529.90 × 33,481.80
  4. Step 4: Simplify right side
    55,643.40x = 2,796,731,405.82
  5. Step 5: Solve for x
    x = 2,796,731,405.82/55,643.40
  6. Step 6: Final answer
    x = 50,261.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.