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Finding the Fourth Proportional to 64,878.06, 97,141.17 and 33,647.70

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Solution

The fourth proportional to 64,878.06, 97,141.17 and 33,647.70 is: 50,380.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,878.06 : 97,141.17 = 33,647.70 : x
  2. Step 2: Convert to fraction form
    64,878.06/97,141.17 = 33,647.70/x
  3. Step 3: Cross multiply
    64,878.06x = 97,141.17 × 33,647.70
  4. Step 4: Simplify right side
    64,878.06x = 3,268,576,945.81
  5. Step 5: Solve for x
    x = 3,268,576,945.81/64,878.06
  6. Step 6: Final answer
    x = 50,380.31

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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.