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Finding the Fourth Proportional to 79,427.31, 109,634.30 and 51,133

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Solution

The fourth proportional to 79,427.31, 109,634.30 and 51,133 is: 70,579.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,427.31 : 109,634.30 = 51,133 : x
  2. Step 2: Convert to fraction form
    79,427.31/109,634.30 = 51,133/x
  3. Step 3: Cross multiply
    79,427.31x = 109,634.30 × 51,133
  4. Step 4: Simplify right side
    79,427.31x = 5,605,930,661.90
  5. Step 5: Solve for x
    x = 5,605,930,661.90/79,427.31
  6. Step 6: Final answer
    x = 70,579.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.