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Finding the Fourth Proportional to 37,151, 51,269.28 and 20,384

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Solution

The fourth proportional to 37,151, 51,269.28 and 20,384 is: 28,130.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,151 : 51,269.28 = 20,384 : x
  2. Step 2: Convert to fraction form
    37,151/51,269.28 = 20,384/x
  3. Step 3: Cross multiply
    37,151x = 51,269.28 × 20,384
  4. Step 4: Simplify right side
    37,151x = 1,045,073,003.52
  5. Step 5: Solve for x
    x = 1,045,073,003.52/37,151
  6. Step 6: Final answer
    x = 28,130.41

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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.