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Finding the Fourth Proportional to 41,042.56, 61,527.50 and 16,100.51

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Solution

The fourth proportional to 41,042.56, 61,527.50 and 16,100.51 is: 24,136.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,042.56 : 61,527.50 = 16,100.51 : x
  2. Step 2: Convert to fraction form
    41,042.56/61,527.50 = 16,100.51/x
  3. Step 3: Cross multiply
    41,042.56x = 61,527.50 × 16,100.51
  4. Step 4: Simplify right side
    41,042.56x = 990,624,129.03
  5. Step 5: Solve for x
    x = 990,624,129.03/41,042.56
  6. Step 6: Final answer
    x = 24,136.51

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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.