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Finding the Fourth Proportional to 37,664.26, 51,977.01 and 21,751.42

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Solution

The fourth proportional to 37,664.26, 51,977.01 and 21,751.42 is: 30,017.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,664.26 : 51,977.01 = 21,751.42 : x
  2. Step 2: Convert to fraction form
    37,664.26/51,977.01 = 21,751.42/x
  3. Step 3: Cross multiply
    37,664.26x = 51,977.01 × 21,751.42
  4. Step 4: Simplify right side
    37,664.26x = 1,130,573,774.85
  5. Step 5: Solve for x
    x = 1,130,573,774.85/37,664.26
  6. Step 6: Final answer
    x = 30,017.15

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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.