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Finding the Fourth Proportional to 51,093.61, 76,643.65 and 16,034.65

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Solution

The fourth proportional to 51,093.61, 76,643.65 and 16,034.65 is: 24,052.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,093.61 : 76,643.65 = 16,034.65 : x
  2. Step 2: Convert to fraction form
    51,093.61/76,643.65 = 16,034.65/x
  3. Step 3: Cross multiply
    51,093.61x = 76,643.65 × 16,034.65
  4. Step 4: Simplify right side
    51,093.61x = 1,228,954,102.47
  5. Step 5: Solve for x
    x = 1,228,954,102.47/51,093.61
  6. Step 6: Final answer
    x = 24,052.99

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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.