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Finding the Fourth Proportional to 41,806.44, 62,715.54 and 12,226.50

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Solution

The fourth proportional to 41,806.44, 62,715.54 and 12,226.50 is: 18,341.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,806.44 : 62,715.54 = 12,226.50 : x
  2. Step 2: Convert to fraction form
    41,806.44/62,715.54 = 12,226.50/x
  3. Step 3: Cross multiply
    41,806.44x = 62,715.54 × 12,226.50
  4. Step 4: Simplify right side
    41,806.44x = 766,791,549.81
  5. Step 5: Solve for x
    x = 766,791,549.81/41,806.44
  6. Step 6: Final answer
    x = 18,341.47

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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.