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Finding the Fourth Proportional to 41,596.50, 62,356.68 and 15,281.22

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Solution

The fourth proportional to 41,596.50, 62,356.68 and 15,281.22 is: 22,907.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,596.50 : 62,356.68 = 15,281.22 : x
  2. Step 2: Convert to fraction form
    41,596.50/62,356.68 = 15,281.22/x
  3. Step 3: Cross multiply
    41,596.50x = 62,356.68 × 15,281.22
  4. Step 4: Simplify right side
    41,596.50x = 952,886,145.55
  5. Step 5: Solve for x
    x = 952,886,145.55/41,596.50
  6. Step 6: Final answer
    x = 22,907.84

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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.