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Finding the Fourth Proportional to 59,805, 89,481.78 and 35,700

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Solution

The fourth proportional to 59,805, 89,481.78 and 35,700 is: 53,415.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,805 : 89,481.78 = 35,700 : x
  2. Step 2: Convert to fraction form
    59,805/89,481.78 = 35,700/x
  3. Step 3: Cross multiply
    59,805x = 89,481.78 × 35,700
  4. Step 4: Simplify right side
    59,805x = 3,194,499,546
  5. Step 5: Solve for x
    x = 3,194,499,546/59,805
  6. Step 6: Final answer
    x = 53,415.26

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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.