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Finding the Fourth Proportional to 50,972.92, 76,373.10 and 31,210.21

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Solution

The fourth proportional to 50,972.92, 76,373.10 and 31,210.21 is: 46,762.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972.92 : 76,373.10 = 31,210.21 : x
  2. Step 2: Convert to fraction form
    50,972.92/76,373.10 = 31,210.21/x
  3. Step 3: Cross multiply
    50,972.92x = 76,373.10 × 31,210.21
  4. Step 4: Simplify right side
    50,972.92x = 2,383,620,489.35
  5. Step 5: Solve for x
    x = 2,383,620,489.35/50,972.92
  6. Step 6: Final answer
    x = 46,762.49

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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.