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Finding the Fourth Proportional to 42,786, 64,204.92 and 18,162

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Solution

The fourth proportional to 42,786, 64,204.92 and 18,162 is: 27,254.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,786 : 64,204.92 = 18,162 : x
  2. Step 2: Convert to fraction form
    42,786/64,204.92 = 18,162/x
  3. Step 3: Cross multiply
    42,786x = 64,204.92 × 18,162
  4. Step 4: Simplify right side
    42,786x = 1,166,089,757.04
  5. Step 5: Solve for x
    x = 1,166,089,757.04/42,786
  6. Step 6: Final answer
    x = 27,254.00

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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.