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Finding the Fourth Proportional to 82,401.50, 123,528.94 and 29,799.29

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Solution

The fourth proportional to 82,401.50, 123,528.94 and 29,799.29 is: 44,672.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,401.50 : 123,528.94 = 29,799.29 : x
  2. Step 2: Convert to fraction form
    82,401.50/123,528.94 = 29,799.29/x
  3. Step 3: Cross multiply
    82,401.50x = 123,528.94 × 29,799.29
  4. Step 4: Simplify right side
    82,401.50x = 3,681,074,706.45
  5. Step 5: Solve for x
    x = 3,681,074,706.45/82,401.50
  6. Step 6: Final answer
    x = 44,672.42

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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.