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Finding the Fourth Proportional to 110,104.50, 165,164.99 and 31,225.08

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Solution

The fourth proportional to 110,104.50, 165,164.99 and 31,225.08 is: 46,839.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,104.50 : 165,164.99 = 31,225.08 : x
  2. Step 2: Convert to fraction form
    110,104.50/165,164.99 = 31,225.08/x
  3. Step 3: Cross multiply
    110,104.50x = 165,164.99 × 31,225.08
  4. Step 4: Simplify right side
    110,104.50x = 5,157,289,869.82
  5. Step 5: Solve for x
    x = 5,157,289,869.82/110,104.50
  6. Step 6: Final answer
    x = 46,839.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.