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Finding the Fourth Proportional to 33,970, 46,881.40 and 18,863.60

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Solution

The fourth proportional to 33,970, 46,881.40 and 18,863.60 is: 26,033.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,970 : 46,881.40 = 18,863.60 : x
  2. Step 2: Convert to fraction form
    33,970/46,881.40 = 18,863.60/x
  3. Step 3: Cross multiply
    33,970x = 46,881.40 × 18,863.60
  4. Step 4: Simplify right side
    33,970x = 884,351,977.04
  5. Step 5: Solve for x
    x = 884,351,977.04/33,970
  6. Step 6: Final answer
    x = 26,033.32

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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.