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Finding the Fourth Proportional to 50,409.50, 75,598.16 and 16,669.26

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Solution

The fourth proportional to 50,409.50, 75,598.16 and 16,669.26 is: 24,998.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,409.50 : 75,598.16 = 16,669.26 : x
  2. Step 2: Convert to fraction form
    50,409.50/75,598.16 = 16,669.26/x
  3. Step 3: Cross multiply
    50,409.50x = 75,598.16 × 16,669.26
  4. Step 4: Simplify right side
    50,409.50x = 1,260,165,301.22
  5. Step 5: Solve for x
    x = 1,260,165,301.22/50,409.50
  6. Step 6: Final answer
    x = 24,998.57

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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.