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Finding the Fourth Proportional to 33,634.16, 46,415.14 and 19,495.20

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Solution

The fourth proportional to 33,634.16, 46,415.14 and 19,495.20 is: 26,903.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,634.16 : 46,415.14 = 19,495.20 : x
  2. Step 2: Convert to fraction form
    33,634.16/46,415.14 = 19,495.20/x
  3. Step 3: Cross multiply
    33,634.16x = 46,415.14 × 19,495.20
  4. Step 4: Simplify right side
    33,634.16x = 904,872,437.33
  5. Step 5: Solve for x
    x = 904,872,437.33/33,634.16
  6. Step 6: Final answer
    x = 26,903.38

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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.