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Finding the Fourth Proportional to 31,035.48, 42,879.08 and 21,645.96

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Solution

The fourth proportional to 31,035.48, 42,879.08 and 21,645.96 is: 29,906.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,035.48 : 42,879.08 = 21,645.96 : x
  2. Step 2: Convert to fraction form
    31,035.48/42,879.08 = 21,645.96/x
  3. Step 3: Cross multiply
    31,035.48x = 42,879.08 × 21,645.96
  4. Step 4: Simplify right side
    31,035.48x = 928,158,850.52
  5. Step 5: Solve for x
    x = 928,158,850.52/31,035.48
  6. Step 6: Final answer
    x = 29,906.38

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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.