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Finding the Fourth Proportional to 33,547.06, 46,297.36 and 20,118.07

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Solution

The fourth proportional to 33,547.06, 46,297.36 and 20,118.07 is: 27,764.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,547.06 : 46,297.36 = 20,118.07 : x
  2. Step 2: Convert to fraction form
    33,547.06/46,297.36 = 20,118.07/x
  3. Step 3: Cross multiply
    33,547.06x = 46,297.36 × 20,118.07
  4. Step 4: Simplify right side
    33,547.06x = 931,413,197.22
  5. Step 5: Solve for x
    x = 931,413,197.22/33,547.06
  6. Step 6: Final answer
    x = 27,764.38

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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.