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Finding the Fourth Proportional to 53,095.68, 73,268.24 and 31,584.24

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Solution

The fourth proportional to 53,095.68, 73,268.24 and 31,584.24 is: 43,583.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,095.68 : 73,268.24 = 31,584.24 : x
  2. Step 2: Convert to fraction form
    53,095.68/73,268.24 = 31,584.24/x
  3. Step 3: Cross multiply
    53,095.68x = 73,268.24 × 31,584.24
  4. Step 4: Simplify right side
    53,095.68x = 2,314,121,676.54
  5. Step 5: Solve for x
    x = 2,314,121,676.54/53,095.68
  6. Step 6: Final answer
    x = 43,583.99

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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.