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Finding the Fourth Proportional to 37,461.75, 51,698.22 and 20,466.71

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Solution

The fourth proportional to 37,461.75, 51,698.22 and 20,466.71 is: 28,244.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,461.75 : 51,698.22 = 20,466.71 : x
  2. Step 2: Convert to fraction form
    37,461.75/51,698.22 = 20,466.71/x
  3. Step 3: Cross multiply
    37,461.75x = 51,698.22 × 20,466.71
  4. Step 4: Simplify right side
    37,461.75x = 1,058,092,115.43
  5. Step 5: Solve for x
    x = 1,058,092,115.43/37,461.75
  6. Step 6: Final answer
    x = 28,244.60

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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.