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Finding the Fourth Proportional to 50,972.64, 70,326 and 28,612.32

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Solution

The fourth proportional to 50,972.64, 70,326 and 28,612.32 is: 39,475.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,972.64 : 70,326 = 28,612.32 : x
  2. Step 2: Convert to fraction form
    50,972.64/70,326 = 28,612.32/x
  3. Step 3: Cross multiply
    50,972.64x = 70,326 × 28,612.32
  4. Step 4: Simplify right side
    50,972.64x = 2,012,190,016.32
  5. Step 5: Solve for x
    x = 2,012,190,016.32/50,972.64
  6. Step 6: Final answer
    x = 39,475.88

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.