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Finding the Fourth Proportional to 70,965.51, 106,439.14 and 33,028.35

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Solution

The fourth proportional to 70,965.51, 106,439.14 and 33,028.35 is: 49,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,965.51 : 106,439.14 = 33,028.35 : x
  2. Step 2: Convert to fraction form
    70,965.51/106,439.14 = 33,028.35/x
  3. Step 3: Cross multiply
    70,965.51x = 106,439.14 × 33,028.35
  4. Step 4: Simplify right side
    70,965.51x = 3,515,509,169.62
  5. Step 5: Solve for x
    x = 3,515,509,169.62/70,965.51
  6. Step 6: Final answer
    x = 49,538.28

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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.