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Finding the Fourth Proportional to 82,178.50, 123,277.47 and 26,774.50

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Solution

The fourth proportional to 82,178.50, 123,277.47 and 26,774.50 is: 40,164.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,178.50 : 123,277.47 = 26,774.50 : x
  2. Step 2: Convert to fraction form
    82,178.50/123,277.47 = 26,774.50/x
  3. Step 3: Cross multiply
    82,178.50x = 123,277.47 × 26,774.50
  4. Step 4: Simplify right side
    82,178.50x = 3,300,692,620.52
  5. Step 5: Solve for x
    x = 3,300,692,620.52/82,178.50
  6. Step 6: Final answer
    x = 40,164.92

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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.