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Finding the Fourth Proportional to 54,410.88, 75,087.52 and 35,548

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Solution

The fourth proportional to 54,410.88, 75,087.52 and 35,548 is: 49,056.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,410.88 : 75,087.52 = 35,548 : x
  2. Step 2: Convert to fraction form
    54,410.88/75,087.52 = 35,548/x
  3. Step 3: Cross multiply
    54,410.88x = 75,087.52 × 35,548
  4. Step 4: Simplify right side
    54,410.88x = 2,669,211,160.96
  5. Step 5: Solve for x
    x = 2,669,211,160.96/54,410.88
  6. Step 6: Final answer
    x = 49,056.57

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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.