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Finding the Fourth Proportional to 75,388.50, 113,134.59 and 26,140.50

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Solution

The fourth proportional to 75,388.50, 113,134.59 and 26,140.50 is: 39,228.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,388.50 : 113,134.59 = 26,140.50 : x
  2. Step 2: Convert to fraction form
    75,388.50/113,134.59 = 26,140.50/x
  3. Step 3: Cross multiply
    75,388.50x = 113,134.59 × 26,140.50
  4. Step 4: Simplify right side
    75,388.50x = 2,957,394,749.90
  5. Step 5: Solve for x
    x = 2,957,394,749.90/75,388.50
  6. Step 6: Final answer
    x = 39,228.73

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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.