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Finding the Fourth Proportional to 73,394.72, 110,109.36 and 26,648

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Solution

The fourth proportional to 73,394.72, 110,109.36 and 26,648 is: 39,978.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,394.72 : 110,109.36 = 26,648 : x
  2. Step 2: Convert to fraction form
    73,394.72/110,109.36 = 26,648/x
  3. Step 3: Cross multiply
    73,394.72x = 110,109.36 × 26,648
  4. Step 4: Simplify right side
    73,394.72x = 2,934,194,225.28
  5. Step 5: Solve for x
    x = 2,934,194,225.28/73,394.72
  6. Step 6: Final answer
    x = 39,978.27

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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.