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Finding the Fourth Proportional to 33,407.64, 46,108.49 and 19,980.38

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Solution

The fourth proportional to 33,407.64, 46,108.49 and 19,980.38 is: 27,576.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,407.64 : 46,108.49 = 19,980.38 : x
  2. Step 2: Convert to fraction form
    33,407.64/46,108.49 = 19,980.38/x
  3. Step 3: Cross multiply
    33,407.64x = 46,108.49 × 19,980.38
  4. Step 4: Simplify right side
    33,407.64x = 921,264,820.98
  5. Step 5: Solve for x
    x = 921,264,820.98/33,407.64
  6. Step 6: Final answer
    x = 27,576.47

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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.