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Finding the Fourth Proportional to 49,509.77, 68,298.05 and 32,511.54

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Solution

The fourth proportional to 49,509.77, 68,298.05 and 32,511.54 is: 44,849.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,509.77 : 68,298.05 = 32,511.54 : x
  2. Step 2: Convert to fraction form
    49,509.77/68,298.05 = 32,511.54/x
  3. Step 3: Cross multiply
    49,509.77x = 68,298.05 × 32,511.54
  4. Step 4: Simplify right side
    49,509.77x = 2,220,475,121.89
  5. Step 5: Solve for x
    x = 2,220,475,121.89/49,509.77
  6. Step 6: Final answer
    x = 44,849.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.