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Finding the Fourth Proportional to 54,548.25, 75,277.04 and 30,674.71

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Solution

The fourth proportional to 54,548.25, 75,277.04 and 30,674.71 is: 42,331.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,548.25 : 75,277.04 = 30,674.71 : x
  2. Step 2: Convert to fraction form
    54,548.25/75,277.04 = 30,674.71/x
  3. Step 3: Cross multiply
    54,548.25x = 75,277.04 × 30,674.71
  4. Step 4: Simplify right side
    54,548.25x = 2,309,101,312.38
  5. Step 5: Solve for x
    x = 2,309,101,312.38/54,548.25
  6. Step 6: Final answer
    x = 42,331.36

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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.