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Finding the Fourth Proportional to 68,321.64, 102,494.76 and 32,752.82

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Solution

The fourth proportional to 68,321.64, 102,494.76 and 32,752.82 is: 49,135.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,321.64 : 102,494.76 = 32,752.82 : x
  2. Step 2: Convert to fraction form
    68,321.64/102,494.76 = 32,752.82/x
  3. Step 3: Cross multiply
    68,321.64x = 102,494.76 × 32,752.82
  4. Step 4: Simplify right side
    68,321.64x = 3,356,992,166.34
  5. Step 5: Solve for x
    x = 3,356,992,166.34/68,321.64
  6. Step 6: Final answer
    x = 49,135.12

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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.