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Finding the Fourth Proportional to 50,919.28, 76,368.76 and 17,182

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Solution

The fourth proportional to 50,919.28, 76,368.76 and 17,182 is: 25,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,919.28 : 76,368.76 = 17,182 : x
  2. Step 2: Convert to fraction form
    50,919.28/76,368.76 = 17,182/x
  3. Step 3: Cross multiply
    50,919.28x = 76,368.76 × 17,182
  4. Step 4: Simplify right side
    50,919.28x = 1,312,168,034.32
  5. Step 5: Solve for x
    x = 1,312,168,034.32/50,919.28
  6. Step 6: Final answer
    x = 25,769.57

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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.