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Finding the Fourth Proportional to 33,156.84, 49,736.63 and 9,783.28

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Solution

The fourth proportional to 33,156.84, 49,736.63 and 9,783.28 is: 14,675.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,156.84 : 49,736.63 = 9,783.28 : x
  2. Step 2: Convert to fraction form
    33,156.84/49,736.63 = 9,783.28/x
  3. Step 3: Cross multiply
    33,156.84x = 49,736.63 × 9,783.28
  4. Step 4: Simplify right side
    33,156.84x = 486,587,464.18
  5. Step 5: Solve for x
    x = 486,587,464.18/33,156.84
  6. Step 6: Final answer
    x = 14,675.33

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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.