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Finding the Fourth Proportional to 41,173.76, 61,760.64 and 16,544

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Solution

The fourth proportional to 41,173.76, 61,760.64 and 16,544 is: 24,816.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,173.76 : 61,760.64 = 16,544 : x
  2. Step 2: Convert to fraction form
    41,173.76/61,760.64 = 16,544/x
  3. Step 3: Cross multiply
    41,173.76x = 61,760.64 × 16,544
  4. Step 4: Simplify right side
    41,173.76x = 1,021,768,028.16
  5. Step 5: Solve for x
    x = 1,021,768,028.16/41,173.76
  6. Step 6: Final answer
    x = 24,816.00

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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.