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Finding the Fourth Proportional to 33,806.40, 46,652.16 and 21,053.16

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Solution

The fourth proportional to 33,806.40, 46,652.16 and 21,053.16 is: 29,052.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,806.40 : 46,652.16 = 21,053.16 : x
  2. Step 2: Convert to fraction form
    33,806.40/46,652.16 = 21,053.16/x
  3. Step 3: Cross multiply
    33,806.40x = 46,652.16 × 21,053.16
  4. Step 4: Simplify right side
    33,806.40x = 982,175,388.83
  5. Step 5: Solve for x
    x = 982,175,388.83/33,806.40
  6. Step 6: Final answer
    x = 29,052.94

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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.