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Finding the Fourth Proportional to 65,228.88, 97,829.28 and 30,163.44

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Solution

The fourth proportional to 65,228.88, 97,829.28 and 30,163.44 is: 45,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,228.88 : 97,829.28 = 30,163.44 : x
  2. Step 2: Convert to fraction form
    65,228.88/97,829.28 = 30,163.44/x
  3. Step 3: Cross multiply
    65,228.88x = 97,829.28 × 30,163.44
  4. Step 4: Simplify right side
    65,228.88x = 2,950,867,617.52
  5. Step 5: Solve for x
    x = 2,950,867,617.52/65,228.88
  6. Step 6: Final answer
    x = 45,238.67

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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.