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Finding the Fourth Proportional to 64,824.54, 89,457.89 and 35,016.54

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Solution

The fourth proportional to 64,824.54, 89,457.89 and 35,016.54 is: 48,322.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,824.54 : 89,457.89 = 35,016.54 : x
  2. Step 2: Convert to fraction form
    64,824.54/89,457.89 = 35,016.54/x
  3. Step 3: Cross multiply
    64,824.54x = 89,457.89 × 35,016.54
  4. Step 4: Simplify right side
    64,824.54x = 3,132,505,608.42
  5. Step 5: Solve for x
    x = 3,132,505,608.42/64,824.54
  6. Step 6: Final answer
    x = 48,322.84

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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.