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Finding the Fourth Proportional to 65,576.54, 98,369.15 and 18,829.82

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Solution

The fourth proportional to 65,576.54, 98,369.15 and 18,829.82 is: 28,245.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,576.54 : 98,369.15 = 18,829.82 : x
  2. Step 2: Convert to fraction form
    65,576.54/98,369.15 = 18,829.82/x
  3. Step 3: Cross multiply
    65,576.54x = 98,369.15 × 18,829.82
  4. Step 4: Simplify right side
    65,576.54x = 1,852,273,388.05
  5. Step 5: Solve for x
    x = 1,852,273,388.05/65,576.54
  6. Step 6: Final answer
    x = 28,245.98

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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.