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Finding the Fourth Proportional to 110,643.48, 165,992.58 and 31,763.88

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Solution

The fourth proportional to 110,643.48, 165,992.58 and 31,763.88 is: 47,653.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,643.48 : 165,992.58 = 31,763.88 : x
  2. Step 2: Convert to fraction form
    110,643.48/165,992.58 = 31,763.88/x
  3. Step 3: Cross multiply
    110,643.48x = 165,992.58 × 31,763.88
  4. Step 4: Simplify right side
    110,643.48x = 5,272,568,392.01
  5. Step 5: Solve for x
    x = 5,272,568,392.01/110,643.48
  6. Step 6: Final answer
    x = 47,653.67

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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.