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Finding the Fourth Proportional to 29,927.64, 41,300.44 and 16,499.43

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Solution

The fourth proportional to 29,927.64, 41,300.44 and 16,499.43 is: 22,769.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,927.64 : 41,300.44 = 16,499.43 : x
  2. Step 2: Convert to fraction form
    29,927.64/41,300.44 = 16,499.43/x
  3. Step 3: Cross multiply
    29,927.64x = 41,300.44 × 16,499.43
  4. Step 4: Simplify right side
    29,927.64x = 681,433,718.75
  5. Step 5: Solve for x
    x = 681,433,718.75/29,927.64
  6. Step 6: Final answer
    x = 22,769.38

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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.