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Finding the Fourth Proportional to 97,800.97, 146,672.70 and 41,640.43

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Solution

The fourth proportional to 97,800.97, 146,672.70 and 41,640.43 is: 62,448.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,800.97 : 146,672.70 = 41,640.43 : x
  2. Step 2: Convert to fraction form
    97,800.97/146,672.70 = 41,640.43/x
  3. Step 3: Cross multiply
    97,800.97x = 146,672.70 × 41,640.43
  4. Step 4: Simplify right side
    97,800.97x = 6,107,514,297.26
  5. Step 5: Solve for x
    x = 6,107,514,297.26/97,800.97
  6. Step 6: Final answer
    x = 62,448.40

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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.