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Finding the Fourth Proportional to 33,564.16, 46,323.26 and 19,228.38

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Solution

The fourth proportional to 33,564.16, 46,323.26 and 19,228.38 is: 26,537.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,564.16 : 46,323.26 = 19,228.38 : x
  2. Step 2: Convert to fraction form
    33,564.16/46,323.26 = 19,228.38/x
  3. Step 3: Cross multiply
    33,564.16x = 46,323.26 × 19,228.38
  4. Step 4: Simplify right side
    33,564.16x = 890,721,246.12
  5. Step 5: Solve for x
    x = 890,721,246.12/33,564.16
  6. Step 6: Final answer
    x = 26,537.87

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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.