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Finding the Fourth Proportional to 31,920.49, 44,049.49 and 17,773.03

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Solution

The fourth proportional to 31,920.49, 44,049.49 and 17,773.03 is: 24,526.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,920.49 : 44,049.49 = 17,773.03 : x
  2. Step 2: Convert to fraction form
    31,920.49/44,049.49 = 17,773.03/x
  3. Step 3: Cross multiply
    31,920.49x = 44,049.49 × 17,773.03
  4. Step 4: Simplify right side
    31,920.49x = 782,892,907.25
  5. Step 5: Solve for x
    x = 782,892,907.25/31,920.49
  6. Step 6: Final answer
    x = 24,526.34

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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.