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Finding the Fourth Proportional to 35,099.46, 48,458.52 and 23,182.74

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Solution

The fourth proportional to 35,099.46, 48,458.52 and 23,182.74 is: 32,006.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,099.46 : 48,458.52 = 23,182.74 : x
  2. Step 2: Convert to fraction form
    35,099.46/48,458.52 = 23,182.74/x
  3. Step 3: Cross multiply
    35,099.46x = 48,458.52 × 23,182.74
  4. Step 4: Simplify right side
    35,099.46x = 1,123,401,269.94
  5. Step 5: Solve for x
    x = 1,123,401,269.94/35,099.46
  6. Step 6: Final answer
    x = 32,006.23

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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.