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Finding the Fourth Proportional to 29,470.47, 40,705.77 and 21,391.21

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Solution

The fourth proportional to 29,470.47, 40,705.77 and 21,391.21 is: 29,546.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,470.47 : 40,705.77 = 21,391.21 : x
  2. Step 2: Convert to fraction form
    29,470.47/40,705.77 = 21,391.21/x
  3. Step 3: Cross multiply
    29,470.47x = 40,705.77 × 21,391.21
  4. Step 4: Simplify right side
    29,470.47x = 870,745,739.38
  5. Step 5: Solve for x
    x = 870,745,739.38/29,470.47
  6. Step 6: Final answer
    x = 29,546.38

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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.