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Finding the Fourth Proportional to 33,980.84, 46,912.74 and 22,054.76

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Solution

The fourth proportional to 33,980.84, 46,912.74 and 22,054.76 is: 30,448.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,980.84 : 46,912.74 = 22,054.76 : x
  2. Step 2: Convert to fraction form
    33,980.84/46,912.74 = 22,054.76/x
  3. Step 3: Cross multiply
    33,980.84x = 46,912.74 × 22,054.76
  4. Step 4: Simplify right side
    33,980.84x = 1,034,649,221.64
  5. Step 5: Solve for x
    x = 1,034,649,221.64/33,980.84
  6. Step 6: Final answer
    x = 30,448.02

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1.5x scale

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.