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Finding the Fourth Proportional to 34,606.51, 51,917.07 and 11,231.14

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Solution

The fourth proportional to 34,606.51, 51,917.07 and 11,231.14 is: 16,849.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,606.51 : 51,917.07 = 11,231.14 : x
  2. Step 2: Convert to fraction form
    34,606.51/51,917.07 = 11,231.14/x
  3. Step 3: Cross multiply
    34,606.51x = 51,917.07 × 11,231.14
  4. Step 4: Simplify right side
    34,606.51x = 583,087,881.56
  5. Step 5: Solve for x
    x = 583,087,881.56/34,606.51
  6. Step 6: Final answer
    x = 16,849.08

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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.