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Finding the Fourth Proportional to 97,843.98, 146,827.73 and 41,684.11

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Solution

The fourth proportional to 97,843.98, 146,827.73 and 41,684.11 is: 62,552.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,843.98 : 146,827.73 = 41,684.11 : x
  2. Step 2: Convert to fraction form
    97,843.98/146,827.73 = 41,684.11/x
  3. Step 3: Cross multiply
    97,843.98x = 146,827.73 × 41,684.11
  4. Step 4: Simplify right side
    97,843.98x = 6,120,383,248.37
  5. Step 5: Solve for x
    x = 6,120,383,248.37/97,843.98
  6. Step 6: Final answer
    x = 62,552.48

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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.