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Finding the Fourth Proportional to 98,537.78, 147,821.27 and 36,203.42

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Solution

The fourth proportional to 98,537.78, 147,821.27 and 36,203.42 is: 54,310.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,537.78 : 147,821.27 = 36,203.42 : x
  2. Step 2: Convert to fraction form
    98,537.78/147,821.27 = 36,203.42/x
  3. Step 3: Cross multiply
    98,537.78x = 147,821.27 × 36,203.42
  4. Step 4: Simplify right side
    98,537.78x = 5,351,635,522.74
  5. Step 5: Solve for x
    x = 5,351,635,522.74/98,537.78
  6. Step 6: Final answer
    x = 54,310.49

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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.