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Finding the Fourth Proportional to 54,892, 75,750.96 and 29,741.50

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Solution

The fourth proportional to 54,892, 75,750.96 and 29,741.50 is: 41,043.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,892 : 75,750.96 = 29,741.50 : x
  2. Step 2: Convert to fraction form
    54,892/75,750.96 = 29,741.50/x
  3. Step 3: Cross multiply
    54,892x = 75,750.96 × 29,741.50
  4. Step 4: Simplify right side
    54,892x = 2,252,947,176.84
  5. Step 5: Solve for x
    x = 2,252,947,176.84/54,892
  6. Step 6: Final answer
    x = 41,043.27

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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.