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Finding the Fourth Proportional to 42,784, 64,201.92 and 18,160

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Solution

The fourth proportional to 42,784, 64,201.92 and 18,160 is: 27,251.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,784 : 64,201.92 = 18,160 : x
  2. Step 2: Convert to fraction form
    42,784/64,201.92 = 18,160/x
  3. Step 3: Cross multiply
    42,784x = 64,201.92 × 18,160
  4. Step 4: Simplify right side
    42,784x = 1,165,906,867.20
  5. Step 5: Solve for x
    x = 1,165,906,867.20/42,784
  6. Step 6: Final answer
    x = 27,251.00

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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.