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Finding the Fourth Proportional to 53,642.10, 80,516.12 and 40,268.60

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Solution

The fourth proportional to 53,642.10, 80,516.12 and 40,268.60 is: 60,442.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,642.10 : 80,516.12 = 40,268.60 : x
  2. Step 2: Convert to fraction form
    53,642.10/80,516.12 = 40,268.60/x
  3. Step 3: Cross multiply
    53,642.10x = 80,516.12 × 40,268.60
  4. Step 4: Simplify right side
    53,642.10x = 3,242,270,825.91
  5. Step 5: Solve for x
    x = 3,242,270,825.91/53,642.10
  6. Step 6: Final answer
    x = 60,442.65

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.