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Finding the Fourth Proportional to 62,583.84, 86,375.16 and 35,729.10

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Solution

The fourth proportional to 62,583.84, 86,375.16 and 35,729.10 is: 49,311.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,583.84 : 86,375.16 = 35,729.10 : x
  2. Step 2: Convert to fraction form
    62,583.84/86,375.16 = 35,729.10/x
  3. Step 3: Cross multiply
    62,583.84x = 86,375.16 × 35,729.10
  4. Step 4: Simplify right side
    62,583.84x = 3,086,106,729.16
  5. Step 5: Solve for x
    x = 3,086,106,729.16/62,583.84
  6. Step 6: Final answer
    x = 49,311.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.