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Finding the Fourth Proportional to 33,724, 46,539.87 and 18,616.63

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Solution

The fourth proportional to 33,724, 46,539.87 and 18,616.63 is: 25,691.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,724 : 46,539.87 = 18,616.63 : x
  2. Step 2: Convert to fraction form
    33,724/46,539.87 = 18,616.63/x
  3. Step 3: Cross multiply
    33,724x = 46,539.87 × 18,616.63
  4. Step 4: Simplify right side
    33,724x = 866,415,214.26
  5. Step 5: Solve for x
    x = 866,415,214.26/33,724
  6. Step 6: Final answer
    x = 25,691.35

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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.