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Finding the Fourth Proportional to 68,450.16, 102,713.64 and 37,287.60

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Solution

The fourth proportional to 68,450.16, 102,713.64 and 37,287.60 is: 55,952.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,450.16 : 102,713.64 = 37,287.60 : x
  2. Step 2: Convert to fraction form
    68,450.16/102,713.64 = 37,287.60/x
  3. Step 3: Cross multiply
    68,450.16x = 102,713.64 × 37,287.60
  4. Step 4: Simplify right side
    68,450.16x = 3,829,945,122.86
  5. Step 5: Solve for x
    x = 3,829,945,122.86/68,450.16
  6. Step 6: Final answer
    x = 55,952.32

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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.