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Finding the Fourth Proportional to 34,589, 47,714.77 and 21,837.60

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Solution

The fourth proportional to 34,589, 47,714.77 and 21,837.60 is: 30,124.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,589 : 47,714.77 = 21,837.60 : x
  2. Step 2: Convert to fraction form
    34,589/47,714.77 = 21,837.60/x
  3. Step 3: Cross multiply
    34,589x = 47,714.77 × 21,837.60
  4. Step 4: Simplify right side
    34,589x = 1,041,975,952.16
  5. Step 5: Solve for x
    x = 1,041,975,952.16/34,589
  6. Step 6: Final answer
    x = 30,124.49

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.