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Finding the Fourth Proportional to 41,171.88, 56,817.39 and 22,309

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Solution

The fourth proportional to 41,171.88, 56,817.39 and 22,309 is: 30,786.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,171.88 : 56,817.39 = 22,309 : x
  2. Step 2: Convert to fraction form
    41,171.88/56,817.39 = 22,309/x
  3. Step 3: Cross multiply
    41,171.88x = 56,817.39 × 22,309
  4. Step 4: Simplify right side
    41,171.88x = 1,267,539,153.51
  5. Step 5: Solve for x
    x = 1,267,539,153.51/41,171.88
  6. Step 6: Final answer
    x = 30,786.53

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.