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Finding the Fourth Proportional to 30,340.31, 41,871.06 and 16,911.66

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Solution

The fourth proportional to 30,340.31, 41,871.06 and 16,911.66 is: 23,338.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,340.31 : 41,871.06 = 16,911.66 : x
  2. Step 2: Convert to fraction form
    30,340.31/41,871.06 = 16,911.66/x
  3. Step 3: Cross multiply
    30,340.31x = 41,871.06 × 16,911.66
  4. Step 4: Simplify right side
    30,340.31x = 708,109,130.56
  5. Step 5: Solve for x
    x = 708,109,130.56/30,340.31
  6. Step 6: Final answer
    x = 23,338.89

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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.