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Finding the Fourth Proportional to 89,694, 134,522.64 and 33,523.74

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Solution

The fourth proportional to 89,694, 134,522.64 and 33,523.74 is: 50,278.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    89,694 : 134,522.64 = 33,523.74 : x
  2. Step 2: Convert to fraction form
    89,694/134,522.64 = 33,523.74/x
  3. Step 3: Cross multiply
    89,694x = 134,522.64 × 33,523.74
  4. Step 4: Simplify right side
    89,694x = 4,509,702,007.47
  5. Step 5: Solve for x
    x = 4,509,702,007.47/89,694
  6. Step 6: Final answer
    x = 50,278.75

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Why These Related Problems?

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