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Finding the Fourth Proportional to 71,756.69, 107,564.76 and 26,745.10

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Solution

The fourth proportional to 71,756.69, 107,564.76 and 26,745.10 is: 40,091.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,756.69 : 107,564.76 = 26,745.10 : x
  2. Step 2: Convert to fraction form
    71,756.69/107,564.76 = 26,745.10/x
  3. Step 3: Cross multiply
    71,756.69x = 107,564.76 × 26,745.10
  4. Step 4: Simplify right side
    71,756.69x = 2,876,829,993.76
  5. Step 5: Solve for x
    x = 2,876,829,993.76/71,756.69
  6. Step 6: Final answer
    x = 40,091.46

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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.