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Finding the Fourth Proportional to 69,023.77, 103,489.52 and 55,713.14

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Solution

The fourth proportional to 69,023.77, 103,489.52 and 55,713.14 is: 83,532.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,023.77 : 103,489.52 = 55,713.14 : x
  2. Step 2: Convert to fraction form
    69,023.77/103,489.52 = 55,713.14/x
  3. Step 3: Cross multiply
    69,023.77x = 103,489.52 × 55,713.14
  4. Step 4: Simplify right side
    69,023.77x = 5,765,726,469.51
  5. Step 5: Solve for x
    x = 5,765,726,469.51/69,023.77
  6. Step 6: Final answer
    x = 83,532.48

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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.