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Finding the Fourth Proportional to 37,038, 51,112.44 and 20,271

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Solution

The fourth proportional to 37,038, 51,112.44 and 20,271 is: 27,973.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038 : 51,112.44 = 20,271 : x
  2. Step 2: Convert to fraction form
    37,038/51,112.44 = 20,271/x
  3. Step 3: Cross multiply
    37,038x = 51,112.44 × 20,271
  4. Step 4: Simplify right side
    37,038x = 1,036,100,271.24
  5. Step 5: Solve for x
    x = 1,036,100,271.24/37,038
  6. Step 6: Final answer
    x = 27,973.98

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.