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Finding the Fourth Proportional to 97,922.50, 146,883.39 and 27,801.82

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Solution

The fourth proportional to 97,922.50, 146,883.39 and 27,801.82 is: 41,702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,922.50 : 146,883.39 = 27,801.82 : x
  2. Step 2: Convert to fraction form
    97,922.50/146,883.39 = 27,801.82/x
  3. Step 3: Cross multiply
    97,922.50x = 146,883.39 × 27,801.82
  4. Step 4: Simplify right side
    97,922.50x = 4,083,625,569.77
  5. Step 5: Solve for x
    x = 4,083,625,569.77/97,922.50
  6. Step 6: Final answer
    x = 41,702.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.