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Finding the Fourth Proportional to 37,047.38, 51,125.38 and 20,280.38

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Solution

The fourth proportional to 37,047.38, 51,125.38 and 20,280.38 is: 27,986.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,047.38 : 51,125.38 = 20,280.38 : x
  2. Step 2: Convert to fraction form
    37,047.38/51,125.38 = 20,280.38/x
  3. Step 3: Cross multiply
    37,047.38x = 51,125.38 × 20,280.38
  4. Step 4: Simplify right side
    37,047.38x = 1,036,841,827.72
  5. Step 5: Solve for x
    x = 1,036,841,827.72/37,047.38
  6. Step 6: Final answer
    x = 27,986.92

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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.