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Finding the Fourth Proportional to 107,761.32, 161,655.39 and 36,678.50

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Solution

The fourth proportional to 107,761.32, 161,655.39 and 36,678.50 is: 55,022.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,761.32 : 161,655.39 = 36,678.50 : x
  2. Step 2: Convert to fraction form
    107,761.32/161,655.39 = 36,678.50/x
  3. Step 3: Cross multiply
    107,761.32x = 161,655.39 × 36,678.50
  4. Step 4: Simplify right side
    107,761.32x = 5,929,277,222.12
  5. Step 5: Solve for x
    x = 5,929,277,222.12/107,761.32
  6. Step 6: Final answer
    x = 55,022.31

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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.