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Finding the Fourth Proportional to 31,035.46, 42,879.10 and 21,645.94

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Solution

The fourth proportional to 31,035.46, 42,879.10 and 21,645.94 is: 29,906.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035.46 : 42,879.10 = 21,645.94 : x
  2. Step 2: Convert to fraction form
    31,035.46/42,879.10 = 21,645.94/x
  3. Step 3: Cross multiply
    31,035.46x = 42,879.10 × 21,645.94
  4. Step 4: Simplify right side
    31,035.46x = 928,158,425.85
  5. Step 5: Solve for x
    x = 928,158,425.85/31,035.46
  6. Step 6: Final answer
    x = 29,906.39

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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.