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Finding the Fourth Proportional to 75,706.88, 113,571.30 and 23,109.54

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Solution

The fourth proportional to 75,706.88, 113,571.30 and 23,109.54 is: 34,667.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,706.88 : 113,571.30 = 23,109.54 : x
  2. Step 2: Convert to fraction form
    75,706.88/113,571.30 = 23,109.54/x
  3. Step 3: Cross multiply
    75,706.88x = 113,571.30 × 23,109.54
  4. Step 4: Simplify right side
    75,706.88x = 2,624,580,500.20
  5. Step 5: Solve for x
    x = 2,624,580,500.20/75,706.88
  6. Step 6: Final answer
    x = 34,667.66

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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.