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Finding the Fourth Proportional to 76,004.05, 113,978.73 and 26,071.19

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Solution

The fourth proportional to 76,004.05, 113,978.73 and 26,071.19 is: 39,097.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,004.05 : 113,978.73 = 26,071.19 : x
  2. Step 2: Convert to fraction form
    76,004.05/113,978.73 = 26,071.19/x
  3. Step 3: Cross multiply
    76,004.05x = 113,978.73 × 26,071.19
  4. Step 4: Simplify right side
    76,004.05x = 2,971,560,995.43
  5. Step 5: Solve for x
    x = 2,971,560,995.43/76,004.05
  6. Step 6: Final answer
    x = 39,097.41

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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.