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Finding the Fourth Proportional to 68,017.78, 102,045.03 and 23,646.99

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Solution

The fourth proportional to 68,017.78, 102,045.03 and 23,646.99 is: 35,476.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,017.78 : 102,045.03 = 23,646.99 : x
  2. Step 2: Convert to fraction form
    68,017.78/102,045.03 = 23,646.99/x
  3. Step 3: Cross multiply
    68,017.78x = 102,045.03 × 23,646.99
  4. Step 4: Simplify right side
    68,017.78x = 2,413,057,685.72
  5. Step 5: Solve for x
    x = 2,413,057,685.72/68,017.78
  6. Step 6: Final answer
    x = 35,476.87

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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.