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Finding the Fourth Proportional to 30,702.43, 46,024.89 and 27,963.42

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Solution

The fourth proportional to 30,702.43, 46,024.89 and 27,963.42 is: 41,918.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,702.43 : 46,024.89 = 27,963.42 : x
  2. Step 2: Convert to fraction form
    30,702.43/46,024.89 = 27,963.42/x
  3. Step 3: Cross multiply
    30,702.43x = 46,024.89 × 27,963.42
  4. Step 4: Simplify right side
    30,702.43x = 1,287,013,329.52
  5. Step 5: Solve for x
    x = 1,287,013,329.52/30,702.43
  6. Step 6: Final answer
    x = 41,918.94

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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.