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Finding the Fourth Proportional to 29,934.48, 41,308.86 and 16,505.46

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Solution

The fourth proportional to 29,934.48, 41,308.86 and 16,505.46 is: 22,777.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,934.48 : 41,308.86 = 16,505.46 : x
  2. Step 2: Convert to fraction form
    29,934.48/41,308.86 = 16,505.46/x
  3. Step 3: Cross multiply
    29,934.48x = 41,308.86 × 16,505.46
  4. Step 4: Simplify right side
    29,934.48x = 681,821,736.38
  5. Step 5: Solve for x
    x = 681,821,736.38/29,934.48
  6. Step 6: Final answer
    x = 22,777.14

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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.