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Finding the Fourth Proportional to 33,697.50, 50,526.80 and 14,977.50

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Solution

The fourth proportional to 33,697.50, 50,526.80 and 14,977.50 is: 22,457.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,697.50 : 50,526.80 = 14,977.50 : x
  2. Step 2: Convert to fraction form
    33,697.50/50,526.80 = 14,977.50/x
  3. Step 3: Cross multiply
    33,697.50x = 50,526.80 × 14,977.50
  4. Step 4: Simplify right side
    33,697.50x = 756,765,147
  5. Step 5: Solve for x
    x = 756,765,147/33,697.50
  6. Step 6: Final answer
    x = 22,457.61

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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.