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Finding the Fourth Proportional to 33,694.30, 46,500.43 and 19,547.14

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Solution

The fourth proportional to 33,694.30, 46,500.43 and 19,547.14 is: 26,976.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,694.30 : 46,500.43 = 19,547.14 : x
  2. Step 2: Convert to fraction form
    33,694.30/46,500.43 = 19,547.14/x
  3. Step 3: Cross multiply
    33,694.30x = 46,500.43 × 19,547.14
  4. Step 4: Simplify right side
    33,694.30x = 908,950,415.27
  5. Step 5: Solve for x
    x = 908,950,415.27/33,694.30
  6. Step 6: Final answer
    x = 26,976.39

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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.