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Finding the Fourth Proportional to 54,808.29, 75,634.65 and 30,609

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Solution

The fourth proportional to 54,808.29, 75,634.65 and 30,609 is: 42,239.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,808.29 : 75,634.65 = 30,609 : x
  2. Step 2: Convert to fraction form
    54,808.29/75,634.65 = 30,609/x
  3. Step 3: Cross multiply
    54,808.29x = 75,634.65 × 30,609
  4. Step 4: Simplify right side
    54,808.29x = 2,315,101,001.85
  5. Step 5: Solve for x
    x = 2,315,101,001.85/54,808.29
  6. Step 6: Final answer
    x = 42,239.98

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.