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Finding the Fourth Proportional to 37,580.50, 51,862.71 and 20,813.50

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Solution

The fourth proportional to 37,580.50, 51,862.71 and 20,813.50 is: 28,723.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,580.50 : 51,862.71 = 20,813.50 : x
  2. Step 2: Convert to fraction form
    37,580.50/51,862.71 = 20,813.50/x
  3. Step 3: Cross multiply
    37,580.50x = 51,862.71 × 20,813.50
  4. Step 4: Simplify right side
    37,580.50x = 1,079,444,514.59
  5. Step 5: Solve for x
    x = 1,079,444,514.59/37,580.50
  6. Step 6: Final answer
    x = 28,723.53

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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.