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Finding the Fourth Proportional to 51,375.72, 77,053.86 and 16,315.68

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Solution

The fourth proportional to 51,375.72, 77,053.86 and 16,315.68 is: 24,470.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,375.72 : 77,053.86 = 16,315.68 : x
  2. Step 2: Convert to fraction form
    51,375.72/77,053.86 = 16,315.68/x
  3. Step 3: Cross multiply
    51,375.72x = 77,053.86 × 16,315.68
  4. Step 4: Simplify right side
    51,375.72x = 1,257,186,122.52
  5. Step 5: Solve for x
    x = 1,257,186,122.52/51,375.72
  6. Step 6: Final answer
    x = 24,470.43

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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.