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Finding the Fourth Proportional to 54,884.88, 75,741.72 and 29,735.28

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Solution

The fourth proportional to 54,884.88, 75,741.72 and 29,735.28 is: 41,035.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,884.88 : 75,741.72 = 29,735.28 : x
  2. Step 2: Convert to fraction form
    54,884.88/75,741.72 = 29,735.28/x
  3. Step 3: Cross multiply
    54,884.88x = 75,741.72 × 29,735.28
  4. Step 4: Simplify right side
    54,884.88x = 2,252,201,251.88
  5. Step 5: Solve for x
    x = 2,252,201,251.88/54,884.88
  6. Step 6: Final answer
    x = 41,035.00

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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.