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Finding the Fourth Proportional to 101,714.90, 152,572.32 and 34,241.27

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Solution

The fourth proportional to 101,714.90, 152,572.32 and 34,241.27 is: 51,361.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,714.90 : 152,572.32 = 34,241.27 : x
  2. Step 2: Convert to fraction form
    101,714.90/152,572.32 = 34,241.27/x
  3. Step 3: Cross multiply
    101,714.90x = 152,572.32 × 34,241.27
  4. Step 4: Simplify right side
    101,714.90x = 5,224,269,240.78
  5. Step 5: Solve for x
    x = 5,224,269,240.78/101,714.90
  6. Step 6: Final answer
    x = 51,361.89

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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.