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Finding the Fourth Proportional to 53,861.80, 74,338.42 and 31,197.10

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Solution

The fourth proportional to 53,861.80, 74,338.42 and 31,197.10 is: 43,057.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,861.80 : 74,338.42 = 31,197.10 : x
  2. Step 2: Convert to fraction form
    53,861.80/74,338.42 = 31,197.10/x
  3. Step 3: Cross multiply
    53,861.80x = 74,338.42 × 31,197.10
  4. Step 4: Simplify right side
    53,861.80x = 2,319,143,122.58
  5. Step 5: Solve for x
    x = 2,319,143,122.58/53,861.80
  6. Step 6: Final answer
    x = 43,057.29

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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.