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Finding the Fourth Proportional to 49,583.84, 74,387.46 and 16,304

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Solution

The fourth proportional to 49,583.84, 74,387.46 and 16,304 is: 24,459.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,583.84 : 74,387.46 = 16,304 : x
  2. Step 2: Convert to fraction form
    49,583.84/74,387.46 = 16,304/x
  3. Step 3: Cross multiply
    49,583.84x = 74,387.46 × 16,304
  4. Step 4: Simplify right side
    49,583.84x = 1,212,813,147.84
  5. Step 5: Solve for x
    x = 1,212,813,147.84/49,583.84
  6. Step 6: Final answer
    x = 24,459.85

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Why These Related Problems?

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