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Finding the Fourth Proportional to 29,649.40, 44,470.26 and 11,179

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Solution

The fourth proportional to 29,649.40, 44,470.26 and 11,179 is: 16,767.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,649.40 : 44,470.26 = 11,179 : x
  2. Step 2: Convert to fraction form
    29,649.40/44,470.26 = 11,179/x
  3. Step 3: Cross multiply
    29,649.40x = 44,470.26 × 11,179
  4. Step 4: Simplify right side
    29,649.40x = 497,133,036.54
  5. Step 5: Solve for x
    x = 497,133,036.54/29,649.40
  6. Step 6: Final answer
    x = 16,767.05

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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.