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Finding the Fourth Proportional to 110,496.76, 165,794.31 and 57,893.94

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Solution

The fourth proportional to 110,496.76, 165,794.31 and 57,893.94 is: 86,866.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,496.76 : 165,794.31 = 57,893.94 : x
  2. Step 2: Convert to fraction form
    110,496.76/165,794.31 = 57,893.94/x
  3. Step 3: Cross multiply
    110,496.76x = 165,794.31 × 57,893.94
  4. Step 4: Simplify right side
    110,496.76x = 9,598,485,835.48
  5. Step 5: Solve for x
    x = 9,598,485,835.48/110,496.76
  6. Step 6: Final answer
    x = 86,866.67

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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.