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Finding the Fourth Proportional to 30,236.54, 41,723.84 and 16,803.50

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Solution

The fourth proportional to 30,236.54, 41,723.84 and 16,803.50 is: 23,187.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,236.54 : 41,723.84 = 16,803.50 : x
  2. Step 2: Convert to fraction form
    30,236.54/41,723.84 = 16,803.50/x
  3. Step 3: Cross multiply
    30,236.54x = 41,723.84 × 16,803.50
  4. Step 4: Simplify right side
    30,236.54x = 701,106,378.83
  5. Step 5: Solve for x
    x = 701,106,378.83/30,236.54
  6. Step 6: Final answer
    x = 23,187.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.