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Finding the Fourth Proportional to 110,500.75, 165,800.31 and 57,897.94

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Solution

The fourth proportional to 110,500.75, 165,800.31 and 57,897.94 is: 86,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,500.75 : 165,800.31 = 57,897.94 : x
  2. Step 2: Convert to fraction form
    110,500.75/165,800.31 = 57,897.94/x
  3. Step 3: Cross multiply
    110,500.75x = 165,800.31 × 57,897.94
  4. Step 4: Simplify right side
    110,500.75x = 9,599,496,400.36
  5. Step 5: Solve for x
    x = 9,599,496,400.36/110,500.75
  6. Step 6: Final answer
    x = 86,872.68

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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.