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Finding the Fourth Proportional to 51,392.88, 77,085.96 and 16,334.64

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Solution

The fourth proportional to 51,392.88, 77,085.96 and 16,334.64 is: 24,500.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,392.88 : 77,085.96 = 16,334.64 : x
  2. Step 2: Convert to fraction form
    51,392.88/77,085.96 = 16,334.64/x
  3. Step 3: Cross multiply
    51,392.88x = 77,085.96 × 16,334.64
  4. Step 4: Simplify right side
    51,392.88x = 1,259,171,405.65
  5. Step 5: Solve for x
    x = 1,259,171,405.65/51,392.88
  6. Step 6: Final answer
    x = 24,500.89

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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.