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Finding the Fourth Proportional to 64,674.96, 89,252.64 and 35,997

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Solution

The fourth proportional to 64,674.96, 89,252.64 and 35,997 is: 49,676.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,674.96 : 89,252.64 = 35,997 : x
  2. Step 2: Convert to fraction form
    64,674.96/89,252.64 = 35,997/x
  3. Step 3: Cross multiply
    64,674.96x = 89,252.64 × 35,997
  4. Step 4: Simplify right side
    64,674.96x = 3,212,827,282.08
  5. Step 5: Solve for x
    x = 3,212,827,282.08/64,674.96
  6. Step 6: Final answer
    x = 49,676.53

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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.