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Finding the Fourth Proportional to 33,188.88, 49,783.32 and 9,813.50

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Solution

The fourth proportional to 33,188.88, 49,783.32 and 9,813.50 is: 14,720.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,188.88 : 49,783.32 = 9,813.50 : x
  2. Step 2: Convert to fraction form
    33,188.88/49,783.32 = 9,813.50/x
  3. Step 3: Cross multiply
    33,188.88x = 49,783.32 × 9,813.50
  4. Step 4: Simplify right side
    33,188.88x = 488,548,361.90
  5. Step 5: Solve for x
    x = 488,548,361.90/33,188.88
  6. Step 6: Final answer
    x = 14,720.24

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1.5x scale

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.