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Finding the Fourth Proportional to 51,764.81, 77,644.47 and 16,704.47

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Solution

The fourth proportional to 51,764.81, 77,644.47 and 16,704.47 is: 25,055.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,764.81 : 77,644.47 = 16,704.47 : x
  2. Step 2: Convert to fraction form
    51,764.81/77,644.47 = 16,704.47/x
  3. Step 3: Cross multiply
    51,764.81x = 77,644.47 × 16,704.47
  4. Step 4: Simplify right side
    51,764.81x = 1,297,009,719.78
  5. Step 5: Solve for x
    x = 1,297,009,719.78/51,764.81
  6. Step 6: Final answer
    x = 25,055.82

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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.