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Finding the Fourth Proportional to 82,271.60, 123,407.39 and 19,942.10

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Solution

The fourth proportional to 82,271.60, 123,407.39 and 19,942.10 is: 29,913.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,271.60 : 123,407.39 = 19,942.10 : x
  2. Step 2: Convert to fraction form
    82,271.60/123,407.39 = 19,942.10/x
  3. Step 3: Cross multiply
    82,271.60x = 123,407.39 × 19,942.10
  4. Step 4: Simplify right side
    82,271.60x = 2,461,002,512.12
  5. Step 5: Solve for x
    x = 2,461,002,512.12/82,271.60
  6. Step 6: Final answer
    x = 29,913.15

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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.