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Finding the Fourth Proportional to 59,631, 82,308.06 and 39,759

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Solution

The fourth proportional to 59,631, 82,308.06 and 39,759 is: 54,878.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,631 : 82,308.06 = 39,759 : x
  2. Step 2: Convert to fraction form
    59,631/82,308.06 = 39,759/x
  3. Step 3: Cross multiply
    59,631x = 82,308.06 × 39,759
  4. Step 4: Simplify right side
    59,631x = 3,272,486,157.54
  5. Step 5: Solve for x
    x = 3,272,486,157.54/59,631
  6. Step 6: Final answer
    x = 54,878.94

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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.