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Finding the Fourth Proportional to 82,170.06, 123,254.82 and 19,840.56

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Solution

The fourth proportional to 82,170.06, 123,254.82 and 19,840.56 is: 29,760.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,170.06 : 123,254.82 = 19,840.56 : x
  2. Step 2: Convert to fraction form
    82,170.06/123,254.82 = 19,840.56/x
  3. Step 3: Cross multiply
    82,170.06x = 123,254.82 × 19,840.56
  4. Step 4: Simplify right side
    82,170.06x = 2,445,444,651.50
  5. Step 5: Solve for x
    x = 2,445,444,651.50/82,170.06
  6. Step 6: Final answer
    x = 29,760.77

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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.