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Finding the Fourth Proportional to 33,482.56, 46,207.38 and 20,056

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Solution

The fourth proportional to 33,482.56, 46,207.38 and 20,056 is: 27,678.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,482.56 : 46,207.38 = 20,056 : x
  2. Step 2: Convert to fraction form
    33,482.56/46,207.38 = 20,056/x
  3. Step 3: Cross multiply
    33,482.56x = 46,207.38 × 20,056
  4. Step 4: Simplify right side
    33,482.56x = 926,735,213.28
  5. Step 5: Solve for x
    x = 926,735,213.28/33,482.56
  6. Step 6: Final answer
    x = 27,678.15

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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.