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Finding the Fourth Proportional to 33,646.18, 46,429.50 and 20,218

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Solution

The fourth proportional to 33,646.18, 46,429.50 and 20,218 is: 27,899.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,646.18 : 46,429.50 = 20,218 : x
  2. Step 2: Convert to fraction form
    33,646.18/46,429.50 = 20,218/x
  3. Step 3: Cross multiply
    33,646.18x = 46,429.50 × 20,218
  4. Step 4: Simplify right side
    33,646.18x = 938,711,631
  5. Step 5: Solve for x
    x = 938,711,631/33,646.18
  6. Step 6: Final answer
    x = 27,899.50

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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.