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Finding the Fourth Proportional to 110,352.21, 165,529.86 and 31,466.43

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Solution

The fourth proportional to 110,352.21, 165,529.86 and 31,466.43 is: 47,200.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,352.21 : 165,529.86 = 31,466.43 : x
  2. Step 2: Convert to fraction form
    110,352.21/165,529.86 = 31,466.43/x
  3. Step 3: Cross multiply
    110,352.21x = 165,529.86 × 31,466.43
  4. Step 4: Simplify right side
    110,352.21x = 5,208,633,752.60
  5. Step 5: Solve for x
    x = 5,208,633,752.60/110,352.21
  6. Step 6: Final answer
    x = 47,200.09

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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.