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Finding the Fourth Proportional to 68,165.65, 102,265.53 and 23,792.77

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Solution

The fourth proportional to 68,165.65, 102,265.53 and 23,792.77 is: 35,695.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,165.65 : 102,265.53 = 23,792.77 : x
  2. Step 2: Convert to fraction form
    68,165.65/102,265.53 = 23,792.77/x
  3. Step 3: Cross multiply
    68,165.65x = 102,265.53 × 23,792.77
  4. Step 4: Simplify right side
    68,165.65x = 2,433,180,234.22
  5. Step 5: Solve for x
    x = 2,433,180,234.22/68,165.65
  6. Step 6: Final answer
    x = 35,695.11

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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.