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Finding the Fourth Proportional to 29,710.71, 41,001.91 and 16,965.97

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Solution

The fourth proportional to 29,710.71, 41,001.91 and 16,965.97 is: 23,413.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,710.71 : 41,001.91 = 16,965.97 : x
  2. Step 2: Convert to fraction form
    29,710.71/41,001.91 = 16,965.97/x
  3. Step 3: Cross multiply
    29,710.71x = 41,001.91 × 16,965.97
  4. Step 4: Simplify right side
    29,710.71x = 695,637,175.00
  5. Step 5: Solve for x
    x = 695,637,175.00/29,710.71
  6. Step 6: Final answer
    x = 23,413.68

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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.