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Finding the Fourth Proportional to 111,314.31, 166,973.29 and 32,432.87

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Solution

The fourth proportional to 111,314.31, 166,973.29 and 32,432.87 is: 48,649.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,314.31 : 166,973.29 = 32,432.87 : x
  2. Step 2: Convert to fraction form
    111,314.31/166,973.29 = 32,432.87/x
  3. Step 3: Cross multiply
    111,314.31x = 166,973.29 × 32,432.87
  4. Step 4: Simplify right side
    111,314.31x = 5,415,422,092.09
  5. Step 5: Solve for x
    x = 5,415,422,092.09/111,314.31
  6. Step 6: Final answer
    x = 48,649.83

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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.