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Finding the Fourth Proportional to 68,245.32, 102,231.48 and 53,384.24

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Solution

The fourth proportional to 68,245.32, 102,231.48 and 53,384.24 is: 79,969.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,245.32 : 102,231.48 = 53,384.24 : x
  2. Step 2: Convert to fraction form
    68,245.32/102,231.48 = 53,384.24/x
  3. Step 3: Cross multiply
    68,245.32x = 102,231.48 × 53,384.24
  4. Step 4: Simplify right side
    68,245.32x = 5,457,549,863.88
  5. Step 5: Solve for x
    x = 5,457,549,863.88/68,245.32
  6. Step 6: Final answer
    x = 79,969.58

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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.