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Finding the Fourth Proportional to 59,876.30, 82,629.87 and 33,019.76

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Solution

The fourth proportional to 59,876.30, 82,629.87 and 33,019.76 is: 45,567.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,876.30 : 82,629.87 = 33,019.76 : x
  2. Step 2: Convert to fraction form
    59,876.30/82,629.87 = 33,019.76/x
  3. Step 3: Cross multiply
    59,876.30x = 82,629.87 × 33,019.76
  4. Step 4: Simplify right side
    59,876.30x = 2,728,418,476.23
  5. Step 5: Solve for x
    x = 2,728,418,476.23/59,876.30
  6. Step 6: Final answer
    x = 45,567.59

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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.