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Finding the Fourth Proportional to 37,178.68, 51,305.94 and 20,411.56

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Solution

The fourth proportional to 37,178.68, 51,305.94 and 20,411.56 is: 28,167.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,178.68 : 51,305.94 = 20,411.56 : x
  2. Step 2: Convert to fraction form
    37,178.68/51,305.94 = 20,411.56/x
  3. Step 3: Cross multiply
    37,178.68x = 51,305.94 × 20,411.56
  4. Step 4: Simplify right side
    37,178.68x = 1,047,234,272.67
  5. Step 5: Solve for x
    x = 1,047,234,272.67/37,178.68
  6. Step 6: Final answer
    x = 28,167.60

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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.