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Finding the Fourth Proportional to 100,563.84, 150,845.64 and 25,684.05

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Solution

The fourth proportional to 100,563.84, 150,845.64 and 25,684.05 is: 38,526.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,563.84 : 150,845.64 = 25,684.05 : x
  2. Step 2: Convert to fraction form
    100,563.84/150,845.64 = 25,684.05/x
  3. Step 3: Cross multiply
    100,563.84x = 150,845.64 × 25,684.05
  4. Step 4: Simplify right side
    100,563.84x = 3,874,326,960.04
  5. Step 5: Solve for x
    x = 3,874,326,960.04/100,563.84
  6. Step 6: Final answer
    x = 38,526.04

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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.