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Finding the Fourth Proportional to 68,346.10, 102,519.15 and 31,410.10

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Solution

The fourth proportional to 68,346.10, 102,519.15 and 31,410.10 is: 47,115.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,346.10 : 102,519.15 = 31,410.10 : x
  2. Step 2: Convert to fraction form
    68,346.10/102,519.15 = 31,410.10/x
  3. Step 3: Cross multiply
    68,346.10x = 102,519.15 × 31,410.10
  4. Step 4: Simplify right side
    68,346.10x = 3,220,136,753.42
  5. Step 5: Solve for x
    x = 3,220,136,753.42/68,346.10
  6. Step 6: Final answer
    x = 47,115.15

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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.