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Finding the Fourth Proportional to 71,837.40, 107,755.89 and 32,348.28

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Solution

The fourth proportional to 71,837.40, 107,755.89 and 32,348.28 is: 48,522.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,837.40 : 107,755.89 = 32,348.28 : x
  2. Step 2: Convert to fraction form
    71,837.40/107,755.89 = 32,348.28/x
  3. Step 3: Cross multiply
    71,837.40x = 107,755.89 × 32,348.28
  4. Step 4: Simplify right side
    71,837.40x = 3,485,717,701.37
  5. Step 5: Solve for x
    x = 3,485,717,701.37/71,837.40
  6. Step 6: Final answer
    x = 48,522.33

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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.