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Finding the Fourth Proportional to 110,015, 165,025.74 and 26,909

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Solution

The fourth proportional to 110,015, 165,025.74 and 26,909 is: 40,364.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,015 : 165,025.74 = 26,909 : x
  2. Step 2: Convert to fraction form
    110,015/165,025.74 = 26,909/x
  3. Step 3: Cross multiply
    110,015x = 165,025.74 × 26,909
  4. Step 4: Simplify right side
    110,015x = 4,440,677,637.66
  5. Step 5: Solve for x
    x = 4,440,677,637.66/110,015
  6. Step 6: Final answer
    x = 40,364.29

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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.