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Finding the Fourth Proportional to 30,740.31, 42,398.91 and 21,183.39

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Solution

The fourth proportional to 30,740.31, 42,398.91 and 21,183.39 is: 29,217.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,740.31 : 42,398.91 = 21,183.39 : x
  2. Step 2: Convert to fraction form
    30,740.31/42,398.91 = 21,183.39/x
  3. Step 3: Cross multiply
    30,740.31x = 42,398.91 × 21,183.39
  4. Step 4: Simplify right side
    30,740.31x = 898,152,646.10
  5. Step 5: Solve for x
    x = 898,152,646.10/30,740.31
  6. Step 6: Final answer
    x = 29,217.42

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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.