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Finding the Fourth Proportional to 51,014.25, 76,525.79 and 14,078.25

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Solution

The fourth proportional to 51,014.25, 76,525.79 and 14,078.25 is: 21,118.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,014.25 : 76,525.79 = 14,078.25 : x
  2. Step 2: Convert to fraction form
    51,014.25/76,525.79 = 14,078.25/x
  3. Step 3: Cross multiply
    51,014.25x = 76,525.79 × 14,078.25
  4. Step 4: Simplify right side
    51,014.25x = 1,077,349,132.68
  5. Step 5: Solve for x
    x = 1,077,349,132.68/51,014.25
  6. Step 6: Final answer
    x = 21,118.59

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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.