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Finding the Fourth Proportional to 54,548.70, 75,275.90 and 35,685.42

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Solution

The fourth proportional to 54,548.70, 75,275.90 and 35,685.42 is: 49,245.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.70 : 75,275.90 = 35,685.42 : x
  2. Step 2: Convert to fraction form
    54,548.70/75,275.90 = 35,685.42/x
  3. Step 3: Cross multiply
    54,548.70x = 75,275.90 × 35,685.42
  4. Step 4: Simplify right side
    54,548.70x = 2,686,252,107.38
  5. Step 5: Solve for x
    x = 2,686,252,107.38/54,548.70
  6. Step 6: Final answer
    x = 49,245.03

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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.