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Finding the Fourth Proportional to 110,004, 165,009.24 and 26,898

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Solution

The fourth proportional to 110,004, 165,009.24 and 26,898 is: 40,347.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,004 : 165,009.24 = 26,898 : x
  2. Step 2: Convert to fraction form
    110,004/165,009.24 = 26,898/x
  3. Step 3: Cross multiply
    110,004x = 165,009.24 × 26,898
  4. Step 4: Simplify right side
    110,004x = 4,438,418,537.52
  5. Step 5: Solve for x
    x = 4,438,418,537.52/110,004
  6. Step 6: Final answer
    x = 40,347.79

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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.