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Finding the Fourth Proportional to 107,026.37, 160,538.39 and 32,143.32

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Solution

The fourth proportional to 107,026.37, 160,538.39 and 32,143.32 is: 48,214.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,026.37 : 160,538.39 = 32,143.32 : x
  2. Step 2: Convert to fraction form
    107,026.37/160,538.39 = 32,143.32/x
  3. Step 3: Cross multiply
    107,026.37x = 160,538.39 × 32,143.32
  4. Step 4: Simplify right side
    107,026.37x = 5,160,236,842.05
  5. Step 5: Solve for x
    x = 5,160,236,842.05/107,026.37
  6. Step 6: Final answer
    x = 48,214.63

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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.