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Finding the Fourth Proportional to 50,972.20, 76,515.90 and 30,207.40

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Solution

The fourth proportional to 50,972.20, 76,515.90 and 30,207.40 is: 45,345.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972.20 : 76,515.90 = 30,207.40 : x
  2. Step 2: Convert to fraction form
    50,972.20/76,515.90 = 30,207.40/x
  3. Step 3: Cross multiply
    50,972.20x = 76,515.90 × 30,207.40
  4. Step 4: Simplify right side
    50,972.20x = 2,311,346,397.66
  5. Step 5: Solve for x
    x = 2,311,346,397.66/50,972.20
  6. Step 6: Final answer
    x = 45,345.24

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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.