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Finding the Fourth Proportional to 54,646.44, 75,406.50 and 40,314.06

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Solution

The fourth proportional to 54,646.44, 75,406.50 and 40,314.06 is: 55,629.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,646.44 : 75,406.50 = 40,314.06 : x
  2. Step 2: Convert to fraction form
    54,646.44/75,406.50 = 40,314.06/x
  3. Step 3: Cross multiply
    54,646.44x = 75,406.50 × 40,314.06
  4. Step 4: Simplify right side
    54,646.44x = 3,039,942,165.39
  5. Step 5: Solve for x
    x = 3,039,942,165.39/54,646.44
  6. Step 6: Final answer
    x = 55,629.28

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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.