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Finding the Fourth Proportional to 82,276.68, 123,459.68 and 34,918.41

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Solution

The fourth proportional to 82,276.68, 123,459.68 and 34,918.41 is: 52,396.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,276.68 : 123,459.68 = 34,918.41 : x
  2. Step 2: Convert to fraction form
    82,276.68/123,459.68 = 34,918.41/x
  3. Step 3: Cross multiply
    82,276.68x = 123,459.68 × 34,918.41
  4. Step 4: Simplify right side
    82,276.68x = 4,311,015,724.71
  5. Step 5: Solve for x
    x = 4,311,015,724.71/82,276.68
  6. Step 6: Final answer
    x = 52,396.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.