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Finding the Fourth Proportional to 68,097.84, 102,231.80 and 46,009.14

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Solution

The fourth proportional to 68,097.84, 102,231.80 and 46,009.14 is: 69,071.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097.84 : 102,231.80 = 46,009.14 : x
  2. Step 2: Convert to fraction form
    68,097.84/102,231.80 = 46,009.14/x
  3. Step 3: Cross multiply
    68,097.84x = 102,231.80 × 46,009.14
  4. Step 4: Simplify right side
    68,097.84x = 4,703,597,198.65
  5. Step 5: Solve for x
    x = 4,703,597,198.65/68,097.84
  6. Step 6: Final answer
    x = 69,071.17

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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.