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Finding the Fourth Proportional to 35,099.86, 48,449.34 and 27,942.94

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Solution

The fourth proportional to 35,099.86, 48,449.34 and 27,942.94 is: 38,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,099.86 : 48,449.34 = 27,942.94 : x
  2. Step 2: Convert to fraction form
    35,099.86/48,449.34 = 27,942.94/x
  3. Step 3: Cross multiply
    35,099.86x = 48,449.34 × 27,942.94
  4. Step 4: Simplify right side
    35,099.86x = 1,353,817,000.66
  5. Step 5: Solve for x
    x = 1,353,817,000.66/35,099.86
  6. Step 6: Final answer
    x = 38,570.44

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Why These Related Problems?

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