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Finding the Fourth Proportional to 82,466.68, 123,708.12 and 23,302.80

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Solution

The fourth proportional to 82,466.68, 123,708.12 and 23,302.80 is: 34,956.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,466.68 : 123,708.12 = 23,302.80 : x
  2. Step 2: Convert to fraction form
    82,466.68/123,708.12 = 23,302.80/x
  3. Step 3: Cross multiply
    82,466.68x = 123,708.12 × 23,302.80
  4. Step 4: Simplify right side
    82,466.68x = 2,882,745,578.74
  5. Step 5: Solve for x
    x = 2,882,745,578.74/82,466.68
  6. Step 6: Final answer
    x = 34,956.49

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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.