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Finding the Fourth Proportional to 64,445.12, 96,683.04 and 27,512

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Solution

The fourth proportional to 64,445.12, 96,683.04 and 27,512 is: 41,274.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,445.12 : 96,683.04 = 27,512 : x
  2. Step 2: Convert to fraction form
    64,445.12/96,683.04 = 27,512/x
  3. Step 3: Cross multiply
    64,445.12x = 96,683.04 × 27,512
  4. Step 4: Simplify right side
    64,445.12x = 2,659,943,796.48
  5. Step 5: Solve for x
    x = 2,659,943,796.48/64,445.12
  6. Step 6: Final answer
    x = 41,274.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.