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Finding the Fourth Proportional to 41,477.50, 62,216.25 and 13,775.50

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Solution

The fourth proportional to 41,477.50, 62,216.25 and 13,775.50 is: 20,663.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,477.50 : 62,216.25 = 13,775.50 : x
  2. Step 2: Convert to fraction form
    41,477.50/62,216.25 = 13,775.50/x
  3. Step 3: Cross multiply
    41,477.50x = 62,216.25 × 13,775.50
  4. Step 4: Simplify right side
    41,477.50x = 857,059,951.88
  5. Step 5: Solve for x
    x = 857,059,951.88/41,477.50
  6. Step 6: Final answer
    x = 20,663.25

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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.