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Finding the Fourth Proportional to 29,650.40, 44,471.76 and 11,180

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Solution

The fourth proportional to 29,650.40, 44,471.76 and 11,180 is: 16,768.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,650.40 : 44,471.76 = 11,180 : x
  2. Step 2: Convert to fraction form
    29,650.40/44,471.76 = 11,180/x
  3. Step 3: Cross multiply
    29,650.40x = 44,471.76 × 11,180
  4. Step 4: Simplify right side
    29,650.40x = 497,194,276.80
  5. Step 5: Solve for x
    x = 497,194,276.80/29,650.40
  6. Step 6: Final answer
    x = 16,768.55

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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.