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Finding the Fourth Proportional to 58,097.84, 87,008.52 and 33,422

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Solution

The fourth proportional to 58,097.84, 87,008.52 and 33,422 is: 50,053.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,097.84 : 87,008.52 = 33,422 : x
  2. Step 2: Convert to fraction form
    58,097.84/87,008.52 = 33,422/x
  3. Step 3: Cross multiply
    58,097.84x = 87,008.52 × 33,422
  4. Step 4: Simplify right side
    58,097.84x = 2,907,998,755.44
  5. Step 5: Solve for x
    x = 2,907,998,755.44/58,097.84
  6. Step 6: Final answer
    x = 50,053.47

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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.