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Finding the Fourth Proportional to 69,077.84, 103,614.33 and 22,329.50

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Solution

The fourth proportional to 69,077.84, 103,614.33 and 22,329.50 is: 33,493.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,077.84 : 103,614.33 = 22,329.50 : x
  2. Step 2: Convert to fraction form
    69,077.84/103,614.33 = 22,329.50/x
  3. Step 3: Cross multiply
    69,077.84x = 103,614.33 × 22,329.50
  4. Step 4: Simplify right side
    69,077.84x = 2,313,656,181.74
  5. Step 5: Solve for x
    x = 2,313,656,181.74/69,077.84
  6. Step 6: Final answer
    x = 33,493.46

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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.