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Finding the Fourth Proportional to 53,682.20, 74,151.20 and 40,857.48

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Solution

The fourth proportional to 53,682.20, 74,151.20 and 40,857.48 is: 56,436.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,682.20 : 74,151.20 = 40,857.48 : x
  2. Step 2: Convert to fraction form
    53,682.20/74,151.20 = 40,857.48/x
  3. Step 3: Cross multiply
    53,682.20x = 74,151.20 × 40,857.48
  4. Step 4: Simplify right side
    53,682.20x = 3,029,631,170.98
  5. Step 5: Solve for x
    x = 3,029,631,170.98/53,682.20
  6. Step 6: Final answer
    x = 56,436.42

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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.