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Finding the Fourth Proportional to 33,421.70, 50,132.55 and 13,714.40

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Solution

The fourth proportional to 33,421.70, 50,132.55 and 13,714.40 is: 20,571.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,421.70 : 50,132.55 = 13,714.40 : x
  2. Step 2: Convert to fraction form
    33,421.70/50,132.55 = 13,714.40/x
  3. Step 3: Cross multiply
    33,421.70x = 50,132.55 × 13,714.40
  4. Step 4: Simplify right side
    33,421.70x = 687,537,843.72
  5. Step 5: Solve for x
    x = 687,537,843.72/33,421.70
  6. Step 6: Final answer
    x = 20,571.60

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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.