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Finding the Fourth Proportional to 57,411.12, 86,116.56 and 15,858

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Solution

The fourth proportional to 57,411.12, 86,116.56 and 15,858 is: 23,786.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,411.12 : 86,116.56 = 15,858 : x
  2. Step 2: Convert to fraction form
    57,411.12/86,116.56 = 15,858/x
  3. Step 3: Cross multiply
    57,411.12x = 86,116.56 × 15,858
  4. Step 4: Simplify right side
    57,411.12x = 1,365,636,408.48
  5. Step 5: Solve for x
    x = 1,365,636,408.48/57,411.12
  6. Step 6: Final answer
    x = 23,786.97

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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.