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Finding the Fourth Proportional to 64,171, 96,295.38 and 27,235

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Solution

The fourth proportional to 64,171, 96,295.38 and 27,235 is: 40,869.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,171 : 96,295.38 = 27,235 : x
  2. Step 2: Convert to fraction form
    64,171/96,295.38 = 27,235/x
  3. Step 3: Cross multiply
    64,171x = 96,295.38 × 27,235
  4. Step 4: Simplify right side
    64,171x = 2,622,604,674.30
  5. Step 5: Solve for x
    x = 2,622,604,674.30/64,171
  6. Step 6: Final answer
    x = 40,869.00

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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.