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Finding the Fourth Proportional to 68,153.10, 102,222.35 and 23,780.69

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Solution

The fourth proportional to 68,153.10, 102,222.35 and 23,780.69 is: 35,668.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,153.10 : 102,222.35 = 23,780.69 : x
  2. Step 2: Convert to fraction form
    68,153.10/102,222.35 = 23,780.69/x
  3. Step 3: Cross multiply
    68,153.10x = 102,222.35 × 23,780.69
  4. Step 4: Simplify right side
    68,153.10x = 2,430,917,992.68
  5. Step 5: Solve for x
    x = 2,430,917,992.68/68,153.10
  6. Step 6: Final answer
    x = 35,668.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.