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Finding the Fourth Proportional to 37,566, 51,842.70 and 20,799

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Solution

The fourth proportional to 37,566, 51,842.70 and 20,799 is: 28,703.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,566 : 51,842.70 = 20,799 : x
  2. Step 2: Convert to fraction form
    37,566/51,842.70 = 20,799/x
  3. Step 3: Cross multiply
    37,566x = 51,842.70 × 20,799
  4. Step 4: Simplify right side
    37,566x = 1,078,276,317.30
  5. Step 5: Solve for x
    x = 1,078,276,317.30/37,566
  6. Step 6: Final answer
    x = 28,703.52

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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.