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Finding the Fourth Proportional to 54,271.15, 74,892 and 31,610.86

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Solution

The fourth proportional to 54,271.15, 74,892 and 31,610.86 is: 43,621.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,271.15 : 74,892 = 31,610.86 : x
  2. Step 2: Convert to fraction form
    54,271.15/74,892 = 31,610.86/x
  3. Step 3: Cross multiply
    54,271.15x = 74,892 × 31,610.86
  4. Step 4: Simplify right side
    54,271.15x = 2,367,400,527.12
  5. Step 5: Solve for x
    x = 2,367,400,527.12/54,271.15
  6. Step 6: Final answer
    x = 43,621.71

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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.