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Finding the Fourth Proportional to 37,736.16, 52,074 and 20,968.80

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Solution

The fourth proportional to 37,736.16, 52,074 and 20,968.80 is: 28,935.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,736.16 : 52,074 = 20,968.80 : x
  2. Step 2: Convert to fraction form
    37,736.16/52,074 = 20,968.80/x
  3. Step 3: Cross multiply
    37,736.16x = 52,074 × 20,968.80
  4. Step 4: Simplify right side
    37,736.16x = 1,091,929,291.20
  5. Step 5: Solve for x
    x = 1,091,929,291.20/37,736.16
  6. Step 6: Final answer
    x = 28,935.89

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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.