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Finding the Fourth Proportional to 76,380.16, 114,572.16 and 20,976

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Solution

The fourth proportional to 76,380.16, 114,572.16 and 20,976 is: 31,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,380.16 : 114,572.16 = 20,976 : x
  2. Step 2: Convert to fraction form
    76,380.16/114,572.16 = 20,976/x
  3. Step 3: Cross multiply
    76,380.16x = 114,572.16 × 20,976
  4. Step 4: Simplify right side
    76,380.16x = 2,403,265,628.16
  5. Step 5: Solve for x
    x = 2,403,265,628.16/76,380.16
  6. Step 6: Final answer
    x = 31,464.53

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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.