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Finding the Fourth Proportional to 68,097.67, 102,146.94 and 23,725.25

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Solution

The fourth proportional to 68,097.67, 102,146.94 and 23,725.25 is: 35,588.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,097.67 : 102,146.94 = 23,725.25 : x
  2. Step 2: Convert to fraction form
    68,097.67/102,146.94 = 23,725.25/x
  3. Step 3: Cross multiply
    68,097.67x = 102,146.94 × 23,725.25
  4. Step 4: Simplify right side
    68,097.67x = 2,423,461,688.24
  5. Step 5: Solve for x
    x = 2,423,461,688.24/68,097.67
  6. Step 6: Final answer
    x = 35,588.03

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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.