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Finding the Fourth Proportional to 34,047.09, 51,066.50 and 11,858.63

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Solution

The fourth proportional to 34,047.09, 51,066.50 and 11,858.63 is: 17,786.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,047.09 : 51,066.50 = 11,858.63 : x
  2. Step 2: Convert to fraction form
    34,047.09/51,066.50 = 11,858.63/x
  3. Step 3: Cross multiply
    34,047.09x = 51,066.50 × 11,858.63
  4. Step 4: Simplify right side
    34,047.09x = 605,578,414.27
  5. Step 5: Solve for x
    x = 605,578,414.27/34,047.09
  6. Step 6: Final answer
    x = 17,786.50

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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.