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Finding the Fourth Proportional to 110,352.72, 165,529.92 and 31,466.88

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Solution

The fourth proportional to 110,352.72, 165,529.92 and 31,466.88 is: 47,200.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,352.72 : 165,529.92 = 31,466.88 : x
  2. Step 2: Convert to fraction form
    110,352.72/165,529.92 = 31,466.88/x
  3. Step 3: Cross multiply
    110,352.72x = 165,529.92 × 31,466.88
  4. Step 4: Simplify right side
    110,352.72x = 5,208,710,129.05
  5. Step 5: Solve for x
    x = 5,208,710,129.05/110,352.72
  6. Step 6: Final answer
    x = 47,200.56

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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.