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Finding the Fourth Proportional to 30,573.38, 42,191.24 and 17,827.09

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Solution

The fourth proportional to 30,573.38, 42,191.24 and 17,827.09 is: 24,601.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,573.38 : 42,191.24 = 17,827.09 : x
  2. Step 2: Convert to fraction form
    30,573.38/42,191.24 = 17,827.09/x
  3. Step 3: Cross multiply
    30,573.38x = 42,191.24 × 17,827.09
  4. Step 4: Simplify right side
    30,573.38x = 752,146,838.08
  5. Step 5: Solve for x
    x = 752,146,838.08/30,573.38
  6. Step 6: Final answer
    x = 24,601.36

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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.