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Finding the Fourth Proportional to 110,057.82, 165,160.71 and 38,980.20

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Solution

The fourth proportional to 110,057.82, 165,160.71 and 38,980.20 is: 58,496.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,057.82 : 165,160.71 = 38,980.20 : x
  2. Step 2: Convert to fraction form
    110,057.82/165,160.71 = 38,980.20/x
  3. Step 3: Cross multiply
    110,057.82x = 165,160.71 × 38,980.20
  4. Step 4: Simplify right side
    110,057.82x = 6,437,997,507.94
  5. Step 5: Solve for x
    x = 6,437,997,507.94/110,057.82
  6. Step 6: Final answer
    x = 58,496.50

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