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Finding the Fourth Proportional to 61,702.83, 85,149.90 and 34,847.15

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Solution

The fourth proportional to 61,702.83, 85,149.90 and 34,847.15 is: 48,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,702.83 : 85,149.90 = 34,847.15 : x
  2. Step 2: Convert to fraction form
    61,702.83/85,149.90 = 34,847.15/x
  3. Step 3: Cross multiply
    61,702.83x = 85,149.90 × 34,847.15
  4. Step 4: Simplify right side
    61,702.83x = 2,967,230,912.04
  5. Step 5: Solve for x
    x = 2,967,230,912.04/61,702.83
  6. Step 6: Final answer
    x = 48,089.06

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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.