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Finding the Fourth Proportional to 57,802.49, 86,705.52 and 15,682.41

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Solution

The fourth proportional to 57,802.49, 86,705.52 and 15,682.41 is: 23,524.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,802.49 : 86,705.52 = 15,682.41 : x
  2. Step 2: Convert to fraction form
    57,802.49/86,705.52 = 15,682.41/x
  3. Step 3: Cross multiply
    57,802.49x = 86,705.52 × 15,682.41
  4. Step 4: Simplify right side
    57,802.49x = 1,359,751,513.90
  5. Step 5: Solve for x
    x = 1,359,751,513.90/57,802.49
  6. Step 6: Final answer
    x = 23,524.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.