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Finding the Fourth Proportional to 37,779, 52,137.09 and 21,868.57

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Solution

The fourth proportional to 37,779, 52,137.09 and 21,868.57 is: 30,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,779 : 52,137.09 = 21,868.57 : x
  2. Step 2: Convert to fraction form
    37,779/52,137.09 = 21,868.57/x
  3. Step 3: Cross multiply
    37,779x = 52,137.09 × 21,868.57
  4. Step 4: Simplify right side
    37,779x = 1,140,163,602.26
  5. Step 5: Solve for x
    x = 1,140,163,602.26/37,779
  6. Step 6: Final answer
    x = 30,179.82

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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.