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Finding the Fourth Proportional to 62,702.48, 94,099.44 and 47,954

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Solution

The fourth proportional to 62,702.48, 94,099.44 and 47,954 is: 71,965.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,702.48 : 94,099.44 = 47,954 : x
  2. Step 2: Convert to fraction form
    62,702.48/94,099.44 = 47,954/x
  3. Step 3: Cross multiply
    62,702.48x = 94,099.44 × 47,954
  4. Step 4: Simplify right side
    62,702.48x = 4,512,444,545.76
  5. Step 5: Solve for x
    x = 4,512,444,545.76/62,702.48
  6. Step 6: Final answer
    x = 71,965.97

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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.