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Finding the Fourth Proportional to 34,099.38, 47,057.03 and 18,992.22

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Solution

The fourth proportional to 34,099.38, 47,057.03 and 18,992.22 is: 26,209.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,099.38 : 47,057.03 = 18,992.22 : x
  2. Step 2: Convert to fraction form
    34,099.38/47,057.03 = 18,992.22/x
  3. Step 3: Cross multiply
    34,099.38x = 47,057.03 × 18,992.22
  4. Step 4: Simplify right side
    34,099.38x = 893,717,477.38
  5. Step 5: Solve for x
    x = 893,717,477.38/34,099.38
  6. Step 6: Final answer
    x = 26,209.20

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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.