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Finding the Fourth Proportional to 68,402, 102,596.28 and 33,365.84

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Solution

The fourth proportional to 68,402, 102,596.28 and 33,365.84 is: 50,045.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,402 : 102,596.28 = 33,365.84 : x
  2. Step 2: Convert to fraction form
    68,402/102,596.28 = 33,365.84/x
  3. Step 3: Cross multiply
    68,402x = 102,596.28 × 33,365.84
  4. Step 4: Simplify right side
    68,402x = 3,423,211,063.08
  5. Step 5: Solve for x
    x = 3,423,211,063.08/68,402
  6. Step 6: Final answer
    x = 50,045.48

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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.