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Finding the Fourth Proportional to 54,493.28, 75,201.12 and 30,620

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Solution

The fourth proportional to 54,493.28, 75,201.12 and 30,620 is: 42,255.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,493.28 : 75,201.12 = 30,620 : x
  2. Step 2: Convert to fraction form
    54,493.28/75,201.12 = 30,620/x
  3. Step 3: Cross multiply
    54,493.28x = 75,201.12 × 30,620
  4. Step 4: Simplify right side
    54,493.28x = 2,302,658,294.40
  5. Step 5: Solve for x
    x = 2,302,658,294.40/54,493.28
  6. Step 6: Final answer
    x = 42,255.82

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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.