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Finding the Fourth Proportional to 54,410.94, 75,089.03 and 31,764.42

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Solution

The fourth proportional to 54,410.94, 75,089.03 and 31,764.42 is: 43,836.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,410.94 : 75,089.03 = 31,764.42 : x
  2. Step 2: Convert to fraction form
    54,410.94/75,089.03 = 31,764.42/x
  3. Step 3: Cross multiply
    54,410.94x = 75,089.03 × 31,764.42
  4. Step 4: Simplify right side
    54,410.94x = 2,385,159,327.49
  5. Step 5: Solve for x
    x = 2,385,159,327.49/54,410.94
  6. Step 6: Final answer
    x = 43,836.03

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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.