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Finding the Fourth Proportional to 33,643.74, 46,426.14 and 20,207.02

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Solution

The fourth proportional to 33,643.74, 46,426.14 and 20,207.02 is: 27,884.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643.74 : 46,426.14 = 20,207.02 : x
  2. Step 2: Convert to fraction form
    33,643.74/46,426.14 = 20,207.02/x
  3. Step 3: Cross multiply
    33,643.74x = 46,426.14 × 20,207.02
  4. Step 4: Simplify right side
    33,643.74x = 938,133,939.50
  5. Step 5: Solve for x
    x = 938,133,939.50/33,643.74
  6. Step 6: Final answer
    x = 27,884.35

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.