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Finding the Fourth Proportional to 37,038.67, 51,114.59 and 20,271.67

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Solution

The fourth proportional to 37,038.67, 51,114.59 and 20,271.67 is: 27,975.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,038.67 : 51,114.59 = 20,271.67 : x
  2. Step 2: Convert to fraction form
    37,038.67/51,114.59 = 20,271.67/x
  3. Step 3: Cross multiply
    37,038.67x = 51,114.59 × 20,271.67
  4. Step 4: Simplify right side
    37,038.67x = 1,036,178,100.67
  5. Step 5: Solve for x
    x = 1,036,178,100.67/37,038.67
  6. Step 6: Final answer
    x = 27,975.58

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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.