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Finding the Fourth Proportional to 37,044, 51,120.72 and 20,277

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Solution

The fourth proportional to 37,044, 51,120.72 and 20,277 is: 27,982.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,044 : 51,120.72 = 20,277 : x
  2. Step 2: Convert to fraction form
    37,044/51,120.72 = 20,277/x
  3. Step 3: Cross multiply
    37,044x = 51,120.72 × 20,277
  4. Step 4: Simplify right side
    37,044x = 1,036,574,839.44
  5. Step 5: Solve for x
    x = 1,036,574,839.44/37,044
  6. Step 6: Final answer
    x = 27,982.26

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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.