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Finding the Fourth Proportional to 68,304.63, 102,469.29 and 30,882.33

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Solution

The fourth proportional to 68,304.63, 102,469.29 and 30,882.33 is: 46,329.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,304.63 : 102,469.29 = 30,882.33 : x
  2. Step 2: Convert to fraction form
    68,304.63/102,469.29 = 30,882.33/x
  3. Step 3: Cross multiply
    68,304.63x = 102,469.29 × 30,882.33
  4. Step 4: Simplify right side
    68,304.63x = 3,164,490,428.65
  5. Step 5: Solve for x
    x = 3,164,490,428.65/68,304.63
  6. Step 6: Final answer
    x = 46,329.08

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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.