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Finding the Fourth Proportional to 33,329.33, 45,994.33 and 18,222

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Solution

The fourth proportional to 33,329.33, 45,994.33 and 18,222 is: 25,146.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,329.33 : 45,994.33 = 18,222 : x
  2. Step 2: Convert to fraction form
    33,329.33/45,994.33 = 18,222/x
  3. Step 3: Cross multiply
    33,329.33x = 45,994.33 × 18,222
  4. Step 4: Simplify right side
    33,329.33x = 838,108,681.26
  5. Step 5: Solve for x
    x = 838,108,681.26/33,329.33
  6. Step 6: Final answer
    x = 25,146.28

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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.