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Finding the Fourth Proportional to 29,971, 41,359.98 and 16,723

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Solution

The fourth proportional to 29,971, 41,359.98 and 16,723 is: 23,077.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,971 : 41,359.98 = 16,723 : x
  2. Step 2: Convert to fraction form
    29,971/41,359.98 = 16,723/x
  3. Step 3: Cross multiply
    29,971x = 41,359.98 × 16,723
  4. Step 4: Simplify right side
    29,971x = 691,662,945.54
  5. Step 5: Solve for x
    x = 691,662,945.54/29,971
  6. Step 6: Final answer
    x = 23,077.74

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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.