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Finding the Fourth Proportional to 34,183.27, 47,159.76 and 21,414.23

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Solution

The fourth proportional to 34,183.27, 47,159.76 and 21,414.23 is: 29,543.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,183.27 : 47,159.76 = 21,414.23 : x
  2. Step 2: Convert to fraction form
    34,183.27/47,159.76 = 21,414.23/x
  3. Step 3: Cross multiply
    34,183.27x = 47,159.76 × 21,414.23
  4. Step 4: Simplify right side
    34,183.27x = 1,009,889,947.38
  5. Step 5: Solve for x
    x = 1,009,889,947.38/34,183.27
  6. Step 6: Final answer
    x = 29,543.40

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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.