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Finding the Fourth Proportional to 97,674.75, 146,531.16 and 41,514.21

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Solution

The fourth proportional to 97,674.75, 146,531.16 and 41,514.21 is: 62,279.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    97,674.75 : 146,531.16 = 41,514.21 : x
  2. Step 2: Convert to fraction form
    97,674.75/146,531.16 = 41,514.21/x
  3. Step 3: Cross multiply
    97,674.75x = 146,531.16 × 41,514.21
  4. Step 4: Simplify right side
    97,674.75x = 6,083,125,347.78
  5. Step 5: Solve for x
    x = 6,083,125,347.78/97,674.75
  6. Step 6: Final answer
    x = 62,279.41

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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.