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Finding the Fourth Proportional to 37,939.36, 52,301.88 and 29,859

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Solution

The fourth proportional to 37,939.36, 52,301.88 and 29,859 is: 41,162.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,939.36 : 52,301.88 = 29,859 : x
  2. Step 2: Convert to fraction form
    37,939.36/52,301.88 = 29,859/x
  3. Step 3: Cross multiply
    37,939.36x = 52,301.88 × 29,859
  4. Step 4: Simplify right side
    37,939.36x = 1,561,681,834.92
  5. Step 5: Solve for x
    x = 1,561,681,834.92/37,939.36
  6. Step 6: Final answer
    x = 41,162.58

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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.