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Finding the Fourth Proportional to 37,377.84, 51,580.74 and 20,382.20

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Solution

The fourth proportional to 37,377.84, 51,580.74 and 20,382.20 is: 28,127.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,377.84 : 51,580.74 = 20,382.20 : x
  2. Step 2: Convert to fraction form
    37,377.84/51,580.74 = 20,382.20/x
  3. Step 3: Cross multiply
    37,377.84x = 51,580.74 × 20,382.20
  4. Step 4: Simplify right side
    37,377.84x = 1,051,328,958.83
  5. Step 5: Solve for x
    x = 1,051,328,958.83/37,377.84
  6. Step 6: Final answer
    x = 28,127.07

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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.