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Finding the Fourth Proportional to 33,672.69, 46,465.14 and 19,524

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Solution

The fourth proportional to 33,672.69, 46,465.14 and 19,524 is: 26,941.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,672.69 : 46,465.14 = 19,524 : x
  2. Step 2: Convert to fraction form
    33,672.69/46,465.14 = 19,524/x
  3. Step 3: Cross multiply
    33,672.69x = 46,465.14 × 19,524
  4. Step 4: Simplify right side
    33,672.69x = 907,185,393.36
  5. Step 5: Solve for x
    x = 907,185,393.36/33,672.69
  6. Step 6: Final answer
    x = 26,941.28

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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.