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Finding the Fourth Proportional to 37,111.36, 51,214.08 and 20,344

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Solution

The fourth proportional to 37,111.36, 51,214.08 and 20,344 is: 28,074.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,111.36 : 51,214.08 = 20,344 : x
  2. Step 2: Convert to fraction form
    37,111.36/51,214.08 = 20,344/x
  3. Step 3: Cross multiply
    37,111.36x = 51,214.08 × 20,344
  4. Step 4: Simplify right side
    37,111.36x = 1,041,899,243.52
  5. Step 5: Solve for x
    x = 1,041,899,243.52/37,111.36
  6. Step 6: Final answer
    x = 28,074.94

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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.