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Finding the Fourth Proportional to 82,282.10, 123,423.16 and 19,952.60

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Solution

The fourth proportional to 82,282.10, 123,423.16 and 19,952.60 is: 29,928.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,282.10 : 123,423.16 = 19,952.60 : x
  2. Step 2: Convert to fraction form
    82,282.10/123,423.16 = 19,952.60/x
  3. Step 3: Cross multiply
    82,282.10x = 123,423.16 × 19,952.60
  4. Step 4: Simplify right side
    82,282.10x = 2,462,612,942.22
  5. Step 5: Solve for x
    x = 2,462,612,942.22/82,282.10
  6. Step 6: Final answer
    x = 29,928.90

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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.