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Finding the Fourth Proportional to 110,076.53, 165,072.87 and 46,856.75

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Solution

The fourth proportional to 110,076.53, 165,072.87 and 46,856.75 is: 70,267.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,076.53 : 165,072.87 = 46,856.75 : x
  2. Step 2: Convert to fraction form
    110,076.53/165,072.87 = 46,856.75/x
  3. Step 3: Cross multiply
    110,076.53x = 165,072.87 × 46,856.75
  4. Step 4: Simplify right side
    110,076.53x = 7,734,777,376.01
  5. Step 5: Solve for x
    x = 7,734,777,376.01/110,076.53
  6. Step 6: Final answer
    x = 70,267.27

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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.