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Finding the Fourth Proportional to 53,846.84, 74,306.46 and 29,972.84

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Solution

The fourth proportional to 53,846.84, 74,306.46 and 29,972.84 is: 41,361.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,846.84 : 74,306.46 = 29,972.84 : x
  2. Step 2: Convert to fraction form
    53,846.84/74,306.46 = 29,972.84/x
  3. Step 3: Cross multiply
    53,846.84x = 74,306.46 × 29,972.84
  4. Step 4: Simplify right side
    53,846.84x = 2,227,175,636.55
  5. Step 5: Solve for x
    x = 2,227,175,636.55/53,846.84
  6. Step 6: Final answer
    x = 41,361.31

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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.