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Finding the Fourth Proportional to 110,014, 165,024.24 and 26,908

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Solution

The fourth proportional to 110,014, 165,024.24 and 26,908 is: 40,362.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,014 : 165,024.24 = 26,908 : x
  2. Step 2: Convert to fraction form
    110,014/165,024.24 = 26,908/x
  3. Step 3: Cross multiply
    110,014x = 165,024.24 × 26,908
  4. Step 4: Simplify right side
    110,014x = 4,440,472,249.92
  5. Step 5: Solve for x
    x = 4,440,472,249.92/110,014
  6. Step 6: Final answer
    x = 40,362.79

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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.