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Finding the Fourth Proportional to 55,102.77, 82,659.06 and 20,033.01

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Solution

The fourth proportional to 55,102.77, 82,659.06 and 20,033.01 is: 30,051.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,102.77 : 82,659.06 = 20,033.01 : x
  2. Step 2: Convert to fraction form
    55,102.77/82,659.06 = 20,033.01/x
  3. Step 3: Cross multiply
    55,102.77x = 82,659.06 × 20,033.01
  4. Step 4: Simplify right side
    55,102.77x = 1,655,909,775.57
  5. Step 5: Solve for x
    x = 1,655,909,775.57/55,102.77
  6. Step 6: Final answer
    x = 30,051.30

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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.