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Finding the Fourth Proportional to 37,038.24, 51,112.80 and 20,271.24

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Solution

The fourth proportional to 37,038.24, 51,112.80 and 20,271.24 is: 27,974.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.24 : 51,112.80 = 20,271.24 : x
  2. Step 2: Convert to fraction form
    37,038.24/51,112.80 = 20,271.24/x
  3. Step 3: Cross multiply
    37,038.24x = 51,112.80 × 20,271.24
  4. Step 4: Simplify right side
    37,038.24x = 1,036,119,835.87
  5. Step 5: Solve for x
    x = 1,036,119,835.87/37,038.24
  6. Step 6: Final answer
    x = 27,974.33

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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.