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Finding the Fourth Proportional to 59,796, 89,694 and 24,736.50

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Solution

The fourth proportional to 59,796, 89,694 and 24,736.50 is: 37,104.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,796 : 89,694 = 24,736.50 : x
  2. Step 2: Convert to fraction form
    59,796/89,694 = 24,736.50/x
  3. Step 3: Cross multiply
    59,796x = 89,694 × 24,736.50
  4. Step 4: Simplify right side
    59,796x = 2,218,715,631
  5. Step 5: Solve for x
    x = 2,218,715,631/59,796
  6. Step 6: Final answer
    x = 37,104.75

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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.