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Finding the Fourth Proportional to 38,706.67, 53,420.52 and 21,940.75

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Solution

The fourth proportional to 38,706.67, 53,420.52 and 21,940.75 is: 30,281.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,706.67 : 53,420.52 = 21,940.75 : x
  2. Step 2: Convert to fraction form
    38,706.67/53,420.52 = 21,940.75/x
  3. Step 3: Cross multiply
    38,706.67x = 53,420.52 × 21,940.75
  4. Step 4: Simplify right side
    38,706.67x = 1,172,086,274.19
  5. Step 5: Solve for x
    x = 1,172,086,274.19/38,706.67
  6. Step 6: Final answer
    x = 30,281.25

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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.