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Finding the Fourth Proportional to 29,702.78, 44,554.15 and 27,734.48

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Solution

The fourth proportional to 29,702.78, 44,554.15 and 27,734.48 is: 41,601.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,702.78 : 44,554.15 = 27,734.48 : x
  2. Step 2: Convert to fraction form
    29,702.78/44,554.15 = 27,734.48/x
  3. Step 3: Cross multiply
    29,702.78x = 44,554.15 × 27,734.48
  4. Step 4: Simplify right side
    29,702.78x = 1,235,686,161.07
  5. Step 5: Solve for x
    x = 1,235,686,161.07/29,702.78
  6. Step 6: Final answer
    x = 41,601.70

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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.