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Finding the Fourth Proportional to 41,389, 57,116.82 and 22,526.26

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Solution

The fourth proportional to 41,389, 57,116.82 and 22,526.26 is: 31,086.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,389 : 57,116.82 = 22,526.26 : x
  2. Step 2: Convert to fraction form
    41,389/57,116.82 = 22,526.26/x
  3. Step 3: Cross multiply
    41,389x = 57,116.82 × 22,526.26
  4. Step 4: Simplify right side
    41,389x = 1,286,628,337.69
  5. Step 5: Solve for x
    x = 1,286,628,337.69/41,389
  6. Step 6: Final answer
    x = 31,086.24

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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.