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Finding the Fourth Proportional to 33,102.97, 49,638.81 and 12,028.32

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Solution

The fourth proportional to 33,102.97, 49,638.81 and 12,028.32 is: 18,036.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102.97 : 49,638.81 = 12,028.32 : x
  2. Step 2: Convert to fraction form
    33,102.97/49,638.81 = 12,028.32/x
  3. Step 3: Cross multiply
    33,102.97x = 49,638.81 × 12,028.32
  4. Step 4: Simplify right side
    33,102.97x = 597,071,491.10
  5. Step 5: Solve for x
    x = 597,071,491.10/33,102.97
  6. Step 6: Final answer
    x = 18,036.80

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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.