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Finding the Fourth Proportional to 29,957, 41,340.66 and 16,709

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Solution

The fourth proportional to 29,957, 41,340.66 and 16,709 is: 23,058.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,957 : 41,340.66 = 16,709 : x
  2. Step 2: Convert to fraction form
    29,957/41,340.66 = 16,709/x
  3. Step 3: Cross multiply
    29,957x = 41,340.66 × 16,709
  4. Step 4: Simplify right side
    29,957x = 690,761,087.94
  5. Step 5: Solve for x
    x = 690,761,087.94/29,957
  6. Step 6: Final answer
    x = 23,058.42

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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.