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Finding the Fourth Proportional to 65,157.44, 89,917.44 and 35,349.44

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Solution

The fourth proportional to 65,157.44, 89,917.44 and 35,349.44 is: 48,782.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,157.44 : 89,917.44 = 35,349.44 : x
  2. Step 2: Convert to fraction form
    65,157.44/89,917.44 = 35,349.44/x
  3. Step 3: Cross multiply
    65,157.44x = 89,917.44 × 35,349.44
  4. Step 4: Simplify right side
    65,157.44x = 3,178,531,150.23
  5. Step 5: Solve for x
    x = 3,178,531,150.23/65,157.44
  6. Step 6: Final answer
    x = 48,782.32

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Why These Related Problems?

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