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Finding the Fourth Proportional to 120,709.44, 181,083.60 and 37,584

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Solution

The fourth proportional to 120,709.44, 181,083.60 and 37,584 is: 56,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,709.44 : 181,083.60 = 37,584 : x
  2. Step 2: Convert to fraction form
    120,709.44/181,083.60 = 37,584/x
  3. Step 3: Cross multiply
    120,709.44x = 181,083.60 × 37,584
  4. Step 4: Simplify right side
    120,709.44x = 6,805,846,022.40
  5. Step 5: Solve for x
    x = 6,805,846,022.40/120,709.44
  6. Step 6: Final answer
    x = 56,382.05

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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.