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Finding the Fourth Proportional to 34,523.92, 51,702.81 and 19,687.87

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Solution

The fourth proportional to 34,523.92, 51,702.81 and 19,687.87 is: 29,484.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,523.92 : 51,702.81 = 19,687.87 : x
  2. Step 2: Convert to fraction form
    34,523.92/51,702.81 = 19,687.87/x
  3. Step 3: Cross multiply
    34,523.92x = 51,702.81 × 19,687.87
  4. Step 4: Simplify right side
    34,523.92x = 1,017,918,201.91
  5. Step 5: Solve for x
    x = 1,017,918,201.91/34,523.92
  6. Step 6: Final answer
    x = 29,484.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.