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Finding the Fourth Proportional to 76,570.36, 114,907.83 and 26,649.97

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Solution

The fourth proportional to 76,570.36, 114,907.83 and 26,649.97 is: 39,993.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,570.36 : 114,907.83 = 26,649.97 : x
  2. Step 2: Convert to fraction form
    76,570.36/114,907.83 = 26,649.97/x
  3. Step 3: Cross multiply
    76,570.36x = 114,907.83 × 26,649.97
  4. Step 4: Simplify right side
    76,570.36x = 3,062,290,222.27
  5. Step 5: Solve for x
    x = 3,062,290,222.27/76,570.36
  6. Step 6: Final answer
    x = 39,993.15

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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.