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Finding the Fourth Proportional to 33,858.48, 46,740.66 and 22,546.80

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Solution

The fourth proportional to 33,858.48, 46,740.66 and 22,546.80 is: 31,125.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,858.48 : 46,740.66 = 22,546.80 : x
  2. Step 2: Convert to fraction form
    33,858.48/46,740.66 = 22,546.80/x
  3. Step 3: Cross multiply
    33,858.48x = 46,740.66 × 22,546.80
  4. Step 4: Simplify right side
    33,858.48x = 1,053,852,312.89
  5. Step 5: Solve for x
    x = 1,053,852,312.89/33,858.48
  6. Step 6: Final answer
    x = 31,125.21

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.