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Finding the Fourth Proportional to 33,718.16, 46,494.60 and 22,970

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Solution

The fourth proportional to 33,718.16, 46,494.60 and 22,970 is: 31,673.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,718.16 : 46,494.60 = 22,970 : x
  2. Step 2: Convert to fraction form
    33,718.16/46,494.60 = 22,970/x
  3. Step 3: Cross multiply
    33,718.16x = 46,494.60 × 22,970
  4. Step 4: Simplify right side
    33,718.16x = 1,067,980,962
  5. Step 5: Solve for x
    x = 1,067,980,962/33,718.16
  6. Step 6: Final answer
    x = 31,673.76

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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.