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Finding the Fourth Proportional to 41,977.89, 62,966.45 and 17,012

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Solution

The fourth proportional to 41,977.89, 62,966.45 and 17,012 is: 25,517.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,977.89 : 62,966.45 = 17,012 : x
  2. Step 2: Convert to fraction form
    41,977.89/62,966.45 = 17,012/x
  3. Step 3: Cross multiply
    41,977.89x = 62,966.45 × 17,012
  4. Step 4: Simplify right side
    41,977.89x = 1,071,185,247.40
  5. Step 5: Solve for x
    x = 1,071,185,247.40/41,977.89
  6. Step 6: Final answer
    x = 25,517.84

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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.