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Finding the Fourth Proportional to 53,489.16, 73,820.16 and 32,268.24

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Solution

The fourth proportional to 53,489.16, 73,820.16 and 32,268.24 is: 44,533.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,489.16 : 73,820.16 = 32,268.24 : x
  2. Step 2: Convert to fraction form
    53,489.16/73,820.16 = 32,268.24/x
  3. Step 3: Cross multiply
    53,489.16x = 73,820.16 × 32,268.24
  4. Step 4: Simplify right side
    53,489.16x = 2,382,046,639.72
  5. Step 5: Solve for x
    x = 2,382,046,639.72/53,489.16
  6. Step 6: Final answer
    x = 44,533.26

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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.