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Finding the Fourth Proportional to 64,936.32, 97,326.10 and 31,606.44

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Solution

The fourth proportional to 64,936.32, 97,326.10 and 31,606.44 is: 47,371.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,936.32 : 97,326.10 = 31,606.44 : x
  2. Step 2: Convert to fraction form
    64,936.32/97,326.10 = 31,606.44/x
  3. Step 3: Cross multiply
    64,936.32x = 97,326.10 × 31,606.44
  4. Step 4: Simplify right side
    64,936.32x = 3,076,131,540.08
  5. Step 5: Solve for x
    x = 3,076,131,540.08/64,936.32
  6. Step 6: Final answer
    x = 47,371.51

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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.