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Finding the Fourth Proportional to 82,026, 123,055.20 and 29,439.36

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Solution

The fourth proportional to 82,026, 123,055.20 and 29,439.36 is: 44,164.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,026 : 123,055.20 = 29,439.36 : x
  2. Step 2: Convert to fraction form
    82,026/123,055.20 = 29,439.36/x
  3. Step 3: Cross multiply
    82,026x = 123,055.20 × 29,439.36
  4. Step 4: Simplify right side
    82,026x = 3,622,666,332.67
  5. Step 5: Solve for x
    x = 3,622,666,332.67/82,026
  6. Step 6: Final answer
    x = 44,164.85

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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.