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Finding the Fourth Proportional to 89,942, 134,919.54 and 34,538

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Solution

The fourth proportional to 89,942, 134,919.54 and 34,538 is: 51,809.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,942 : 134,919.54 = 34,538 : x
  2. Step 2: Convert to fraction form
    89,942/134,919.54 = 34,538/x
  3. Step 3: Cross multiply
    89,942x = 134,919.54 × 34,538
  4. Step 4: Simplify right side
    89,942x = 4,659,851,072.52
  5. Step 5: Solve for x
    x = 4,659,851,072.52/89,942
  6. Step 6: Final answer
    x = 51,809.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.