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Finding the Fourth Proportional to 55,914.76, 83,742.54 and 33,679.54

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Solution

The fourth proportional to 55,914.76, 83,742.54 and 33,679.54 is: 50,441.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,914.76 : 83,742.54 = 33,679.54 : x
  2. Step 2: Convert to fraction form
    55,914.76/83,742.54 = 33,679.54/x
  3. Step 3: Cross multiply
    55,914.76x = 83,742.54 × 33,679.54
  4. Step 4: Simplify right side
    55,914.76x = 2,820,410,225.63
  5. Step 5: Solve for x
    x = 2,820,410,225.63/55,914.76
  6. Step 6: Final answer
    x = 50,441.25

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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.