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Finding the Fourth Proportional to 36,551.64, 50,441.25 and 19,784.64

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Solution

The fourth proportional to 36,551.64, 50,441.25 and 19,784.64 is: 27,302.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,551.64 : 50,441.25 = 19,784.64 : x
  2. Step 2: Convert to fraction form
    36,551.64/50,441.25 = 19,784.64/x
  3. Step 3: Cross multiply
    36,551.64x = 50,441.25 × 19,784.64
  4. Step 4: Simplify right side
    36,551.64x = 997,961,972.40
  5. Step 5: Solve for x
    x = 997,961,972.40/36,551.64
  6. Step 6: Final answer
    x = 27,302.80

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.