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Finding the Fourth Proportional to 76,846.28, 115,296.54 and 26,940.28

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Solution

The fourth proportional to 76,846.28, 115,296.54 and 26,940.28 is: 40,419.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,846.28 : 115,296.54 = 26,940.28 : x
  2. Step 2: Convert to fraction form
    76,846.28/115,296.54 = 26,940.28/x
  3. Step 3: Cross multiply
    76,846.28x = 115,296.54 × 26,940.28
  4. Step 4: Simplify right side
    76,846.28x = 3,106,121,070.63
  5. Step 5: Solve for x
    x = 3,106,121,070.63/76,846.28
  6. Step 6: Final answer
    x = 40,419.93

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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.