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Finding the Fourth Proportional to 30,991.62, 46,418.31 and 21,798.66

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Solution

The fourth proportional to 30,991.62, 46,418.31 and 21,798.66 is: 32,649.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,991.62 : 46,418.31 = 21,798.66 : x
  2. Step 2: Convert to fraction form
    30,991.62/46,418.31 = 21,798.66/x
  3. Step 3: Cross multiply
    30,991.62x = 46,418.31 × 21,798.66
  4. Step 4: Simplify right side
    30,991.62x = 1,011,856,957.46
  5. Step 5: Solve for x
    x = 1,011,856,957.46/30,991.62
  6. Step 6: Final answer
    x = 32,649.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.