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Finding the Fourth Proportional to 59,638, 82,317.72 and 39,766

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Solution

The fourth proportional to 59,638, 82,317.72 and 39,766 is: 54,888.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,638 : 82,317.72 = 39,766 : x
  2. Step 2: Convert to fraction form
    59,638/82,317.72 = 39,766/x
  3. Step 3: Cross multiply
    59,638x = 82,317.72 × 39,766
  4. Step 4: Simplify right side
    59,638x = 3,273,446,453.52
  5. Step 5: Solve for x
    x = 3,273,446,453.52/59,638
  6. Step 6: Final answer
    x = 54,888.60

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