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Finding the Fourth Proportional to 54,642.57, 75,408.02 and 30,445.14

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Solution

The fourth proportional to 54,642.57, 75,408.02 and 30,445.14 is: 42,015.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,642.57 : 75,408.02 = 30,445.14 : x
  2. Step 2: Convert to fraction form
    54,642.57/75,408.02 = 30,445.14/x
  3. Step 3: Cross multiply
    54,642.57x = 75,408.02 × 30,445.14
  4. Step 4: Simplify right side
    54,642.57x = 2,295,807,573.80
  5. Step 5: Solve for x
    x = 2,295,807,573.80/54,642.57
  6. Step 6: Final answer
    x = 42,015.00

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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.