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Finding the Fourth Proportional to 61,702.72, 85,149.76 and 33,408.40

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Solution

The fourth proportional to 61,702.72, 85,149.76 and 33,408.40 is: 46,103.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,702.72 : 85,149.76 = 33,408.40 : x
  2. Step 2: Convert to fraction form
    61,702.72/85,149.76 = 33,408.40/x
  3. Step 3: Cross multiply
    61,702.72x = 85,149.76 × 33,408.40
  4. Step 4: Simplify right side
    61,702.72x = 2,844,717,241.98
  5. Step 5: Solve for x
    x = 2,844,717,241.98/61,702.72
  6. Step 6: Final answer
    x = 46,103.60

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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.