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Finding the Fourth Proportional to 29,798.56, 41,126.16 and 19,879.84

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Solution

The fourth proportional to 29,798.56, 41,126.16 and 19,879.84 is: 27,436.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,798.56 : 41,126.16 = 19,879.84 : x
  2. Step 2: Convert to fraction form
    29,798.56/41,126.16 = 19,879.84/x
  3. Step 3: Cross multiply
    29,798.56x = 41,126.16 × 19,879.84
  4. Step 4: Simplify right side
    29,798.56x = 817,581,480.61
  5. Step 5: Solve for x
    x = 817,581,480.61/29,798.56
  6. Step 6: Final answer
    x = 27,436.95

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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.