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Finding the Fourth Proportional to 110,497.26, 165,795.06 and 57,894.44

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Solution

The fourth proportional to 110,497.26, 165,795.06 and 57,894.44 is: 86,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,497.26 : 165,795.06 = 57,894.44 : x
  2. Step 2: Convert to fraction form
    110,497.26/165,795.06 = 57,894.44/x
  3. Step 3: Cross multiply
    110,497.26x = 165,795.06 × 57,894.44
  4. Step 4: Simplify right side
    110,497.26x = 9,598,612,153.47
  5. Step 5: Solve for x
    x = 9,598,612,153.47/110,497.26
  6. Step 6: Final answer
    x = 86,867.42

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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.