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Finding the Fourth Proportional to 37,891.60, 56,837.40 and 33,809.20

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Solution

The fourth proportional to 37,891.60, 56,837.40 and 33,809.20 is: 50,713.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,891.60 : 56,837.40 = 33,809.20 : x
  2. Step 2: Convert to fraction form
    37,891.60/56,837.40 = 33,809.20/x
  3. Step 3: Cross multiply
    37,891.60x = 56,837.40 × 33,809.20
  4. Step 4: Simplify right side
    37,891.60x = 1,921,627,024.08
  5. Step 5: Solve for x
    x = 1,921,627,024.08/37,891.60
  6. Step 6: Final answer
    x = 50,713.80

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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.