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Finding the Fourth Proportional to 41,775.48, 62,665.86 and 13,698.42

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Solution

The fourth proportional to 41,775.48, 62,665.86 and 13,698.42 is: 20,548.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,775.48 : 62,665.86 = 13,698.42 : x
  2. Step 2: Convert to fraction form
    41,775.48/62,665.86 = 13,698.42/x
  3. Step 3: Cross multiply
    41,775.48x = 62,665.86 × 13,698.42
  4. Step 4: Simplify right side
    41,775.48x = 858,423,269.94
  5. Step 5: Solve for x
    x = 858,423,269.94/41,775.48
  6. Step 6: Final answer
    x = 20,548.50

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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.