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Finding the Fourth Proportional to 68,285.48, 102,354.16 and 34,959.84

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Solution

The fourth proportional to 68,285.48, 102,354.16 and 34,959.84 is: 52,401.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,285.48 : 102,354.16 = 34,959.84 : x
  2. Step 2: Convert to fraction form
    68,285.48/102,354.16 = 34,959.84/x
  3. Step 3: Cross multiply
    68,285.48x = 102,354.16 × 34,959.84
  4. Step 4: Simplify right side
    68,285.48x = 3,578,285,056.93
  5. Step 5: Solve for x
    x = 3,578,285,056.93/68,285.48
  6. Step 6: Final answer
    x = 52,401.84

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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.