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Finding the Fourth Proportional to 53,704.54, 74,111.30 and 29,831

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Solution

The fourth proportional to 53,704.54, 74,111.30 and 29,831 is: 41,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,704.54 : 74,111.30 = 29,831 : x
  2. Step 2: Convert to fraction form
    53,704.54/74,111.30 = 29,831/x
  3. Step 3: Cross multiply
    53,704.54x = 74,111.30 × 29,831
  4. Step 4: Simplify right side
    53,704.54x = 2,210,814,190.30
  5. Step 5: Solve for x
    x = 2,210,814,190.30/53,704.54
  6. Step 6: Final answer
    x = 41,166.24

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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.