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Finding the Fourth Proportional to 42,661.41, 63,942.28 and 32,097.49

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Solution

The fourth proportional to 42,661.41, 63,942.28 and 32,097.49 is: 48,108.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,661.41 : 63,942.28 = 32,097.49 : x
  2. Step 2: Convert to fraction form
    42,661.41/63,942.28 = 32,097.49/x
  3. Step 3: Cross multiply
    42,661.41x = 63,942.28 × 32,097.49
  4. Step 4: Simplify right side
    42,661.41x = 2,052,386,633.33
  5. Step 5: Solve for x
    x = 2,052,386,633.33/42,661.41
  6. Step 6: Final answer
    x = 48,108.74

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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.