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Finding the Fourth Proportional to 33,642.18, 46,423.98 and 20,214

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Solution

The fourth proportional to 33,642.18, 46,423.98 and 20,214 is: 27,893.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,642.18 : 46,423.98 = 20,214 : x
  2. Step 2: Convert to fraction form
    33,642.18/46,423.98 = 20,214/x
  3. Step 3: Cross multiply
    33,642.18x = 46,423.98 × 20,214
  4. Step 4: Simplify right side
    33,642.18x = 938,414,331.72
  5. Step 5: Solve for x
    x = 938,414,331.72/33,642.18
  6. Step 6: Final answer
    x = 27,893.98

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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.