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Finding the Fourth Proportional to 82,152.30, 123,228.44 and 32,255.88

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Solution

The fourth proportional to 82,152.30, 123,228.44 and 32,255.88 is: 48,383.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,152.30 : 123,228.44 = 32,255.88 : x
  2. Step 2: Convert to fraction form
    82,152.30/123,228.44 = 32,255.88/x
  3. Step 3: Cross multiply
    82,152.30x = 123,228.44 × 32,255.88
  4. Step 4: Simplify right side
    82,152.30x = 3,974,841,773.23
  5. Step 5: Solve for x
    x = 3,974,841,773.23/82,152.30
  6. Step 6: Final answer
    x = 48,383.82

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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.