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Finding the Fourth Proportional to 53,679.84, 74,076.72 and 29,805.90

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Solution

The fourth proportional to 53,679.84, 74,076.72 and 29,805.90 is: 41,131.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,679.84 : 74,076.72 = 29,805.90 : x
  2. Step 2: Convert to fraction form
    53,679.84/74,076.72 = 29,805.90/x
  3. Step 3: Cross multiply
    53,679.84x = 74,076.72 × 29,805.90
  4. Step 4: Simplify right side
    53,679.84x = 2,207,923,308.65
  5. Step 5: Solve for x
    x = 2,207,923,308.65/53,679.84
  6. Step 6: Final answer
    x = 41,131.33

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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.