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Finding the Fourth Proportional to 103,684.68, 155,551.70 and 33,564

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Solution

The fourth proportional to 103,684.68, 155,551.70 and 33,564 is: 50,353.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,684.68 : 155,551.70 = 33,564 : x
  2. Step 2: Convert to fraction form
    103,684.68/155,551.70 = 33,564/x
  3. Step 3: Cross multiply
    103,684.68x = 155,551.70 × 33,564
  4. Step 4: Simplify right side
    103,684.68x = 5,220,937,258.80
  5. Step 5: Solve for x
    x = 5,220,937,258.80/103,684.68
  6. Step 6: Final answer
    x = 50,353.99

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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.