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Finding the Fourth Proportional to 61,782.48, 92,702.52 and 36,821.52

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Solution

The fourth proportional to 61,782.48, 92,702.52 and 36,821.52 is: 55,249.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,782.48 : 92,702.52 = 36,821.52 : x
  2. Step 2: Convert to fraction form
    61,782.48/92,702.52 = 36,821.52/x
  3. Step 3: Cross multiply
    61,782.48x = 92,702.52 × 36,821.52
  4. Step 4: Simplify right side
    61,782.48x = 3,413,447,694.23
  5. Step 5: Solve for x
    x = 3,413,447,694.23/61,782.48
  6. Step 6: Final answer
    x = 55,249.44

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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.