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Finding the Fourth Proportional to 76,106.76, 114,131.76 and 26,172.72

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Solution

The fourth proportional to 76,106.76, 114,131.76 and 26,172.72 is: 39,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,106.76 : 114,131.76 = 26,172.72 : x
  2. Step 2: Convert to fraction form
    76,106.76/114,131.76 = 26,172.72/x
  3. Step 3: Cross multiply
    76,106.76x = 114,131.76 × 26,172.72
  4. Step 4: Simplify right side
    76,106.76x = 2,987,138,597.59
  5. Step 5: Solve for x
    x = 2,987,138,597.59/76,106.76
  6. Step 6: Final answer
    x = 39,249.32

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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.