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Finding the Fourth Proportional to 37,842.08, 52,220.04 and 21,074

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Solution

The fourth proportional to 37,842.08, 52,220.04 and 21,074 is: 29,080.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,842.08 : 52,220.04 = 21,074 : x
  2. Step 2: Convert to fraction form
    37,842.08/52,220.04 = 21,074/x
  3. Step 3: Cross multiply
    37,842.08x = 52,220.04 × 21,074
  4. Step 4: Simplify right side
    37,842.08x = 1,100,485,122.96
  5. Step 5: Solve for x
    x = 1,100,485,122.96/37,842.08
  6. Step 6: Final answer
    x = 29,080.99

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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.