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Finding the Fourth Proportional to 54,784, 82,182.48 and 17,848

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Solution

The fourth proportional to 54,784, 82,182.48 and 17,848 is: 26,774.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,784 : 82,182.48 = 17,848 : x
  2. Step 2: Convert to fraction form
    54,784/82,182.48 = 17,848/x
  3. Step 3: Cross multiply
    54,784x = 82,182.48 × 17,848
  4. Step 4: Simplify right side
    54,784x = 1,466,792,903.04
  5. Step 5: Solve for x
    x = 1,466,792,903.04/54,784
  6. Step 6: Final answer
    x = 26,774.11

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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.