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Finding the Fourth Proportional to 37,676.94, 56,446.50 and 17,649.66

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Solution

The fourth proportional to 37,676.94, 56,446.50 and 17,649.66 is: 26,442.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,676.94 : 56,446.50 = 17,649.66 : x
  2. Step 2: Convert to fraction form
    37,676.94/56,446.50 = 17,649.66/x
  3. Step 3: Cross multiply
    37,676.94x = 56,446.50 × 17,649.66
  4. Step 4: Simplify right side
    37,676.94x = 996,261,533.19
  5. Step 5: Solve for x
    x = 996,261,533.19/37,676.94
  6. Step 6: Final answer
    x = 26,442.21

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.