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Finding the Fourth Proportional to 103,684.02, 155,524.17 and 33,563.40

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Solution

The fourth proportional to 103,684.02, 155,524.17 and 33,563.40 is: 50,344.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684.02 : 155,524.17 = 33,563.40 : x
  2. Step 2: Convert to fraction form
    103,684.02/155,524.17 = 33,563.40/x
  3. Step 3: Cross multiply
    103,684.02x = 155,524.17 × 33,563.40
  4. Step 4: Simplify right side
    103,684.02x = 5,219,919,927.38
  5. Step 5: Solve for x
    x = 5,219,919,927.38/103,684.02
  6. Step 6: Final answer
    x = 50,344.50

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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.