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Finding the Fourth Proportional to 34,702.92, 47,891.01 and 19,597.85

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Solution

The fourth proportional to 34,702.92, 47,891.01 and 19,597.85 is: 27,045.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,702.92 : 47,891.01 = 19,597.85 : x
  2. Step 2: Convert to fraction form
    34,702.92/47,891.01 = 19,597.85/x
  3. Step 3: Cross multiply
    34,702.92x = 47,891.01 × 19,597.85
  4. Step 4: Simplify right side
    34,702.92x = 938,560,676.89
  5. Step 5: Solve for x
    x = 938,560,676.89/34,702.92
  6. Step 6: Final answer
    x = 27,045.58

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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.