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Finding the Fourth Proportional to 68,108.64, 102,224.76 and 34,851.68

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Solution

The fourth proportional to 68,108.64, 102,224.76 and 34,851.68 is: 52,309.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,108.64 : 102,224.76 = 34,851.68 : x
  2. Step 2: Convert to fraction form
    68,108.64/102,224.76 = 34,851.68/x
  3. Step 3: Cross multiply
    68,108.64x = 102,224.76 × 34,851.68
  4. Step 4: Simplify right side
    68,108.64x = 3,562,704,623.60
  5. Step 5: Solve for x
    x = 3,562,704,623.60/68,108.64
  6. Step 6: Final answer
    x = 52,309.14

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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.