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Finding the Fourth Proportional to 31,494.84, 43,461 and 18,748.96

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Solution

The fourth proportional to 31,494.84, 43,461 and 18,748.96 is: 25,872.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,494.84 : 43,461 = 18,748.96 : x
  2. Step 2: Convert to fraction form
    31,494.84/43,461 = 18,748.96/x
  3. Step 3: Cross multiply
    31,494.84x = 43,461 × 18,748.96
  4. Step 4: Simplify right side
    31,494.84x = 814,848,550.56
  5. Step 5: Solve for x
    x = 814,848,550.56/31,494.84
  6. Step 6: Final answer
    x = 25,872.45

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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.