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Finding the Fourth Proportional to 69,197, 103,724.76 and 24,204.94

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Solution

The fourth proportional to 69,197, 103,724.76 and 24,204.94 is: 36,282.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,197 : 103,724.76 = 24,204.94 : x
  2. Step 2: Convert to fraction form
    69,197/103,724.76 = 24,204.94/x
  3. Step 3: Cross multiply
    69,197x = 103,724.76 × 24,204.94
  4. Step 4: Simplify right side
    69,197x = 2,510,651,592.31
  5. Step 5: Solve for x
    x = 2,510,651,592.31/69,197
  6. Step 6: Final answer
    x = 36,282.67

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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.