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Finding the Fourth Proportional to 50,142.84, 75,206.35 and 15,074.29

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Solution

The fourth proportional to 50,142.84, 75,206.35 and 15,074.29 is: 22,609.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,142.84 : 75,206.35 = 15,074.29 : x
  2. Step 2: Convert to fraction form
    50,142.84/75,206.35 = 15,074.29/x
  3. Step 3: Cross multiply
    50,142.84x = 75,206.35 × 15,074.29
  4. Step 4: Simplify right side
    50,142.84x = 1,133,682,329.74
  5. Step 5: Solve for x
    x = 1,133,682,329.74/50,142.84
  6. Step 6: Final answer
    x = 22,609.06

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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.