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Finding the Fourth Proportional to 43,325.64, 64,972 and 17,016

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Solution

The fourth proportional to 43,325.64, 64,972 and 17,016 is: 25,517.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,325.64 : 64,972 = 17,016 : x
  2. Step 2: Convert to fraction form
    43,325.64/64,972 = 17,016/x
  3. Step 3: Cross multiply
    43,325.64x = 64,972 × 17,016
  4. Step 4: Simplify right side
    43,325.64x = 1,105,563,552
  5. Step 5: Solve for x
    x = 1,105,563,552/43,325.64
  6. Step 6: Final answer
    x = 25,517.54

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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.