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Finding the Fourth Proportional to 30,208.68, 45,403.92 and 24,977.19

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Solution

The fourth proportional to 30,208.68, 45,403.92 and 24,977.19 is: 37,540.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,208.68 : 45,403.92 = 24,977.19 : x
  2. Step 2: Convert to fraction form
    30,208.68/45,403.92 = 24,977.19/x
  3. Step 3: Cross multiply
    30,208.68x = 45,403.92 × 24,977.19
  4. Step 4: Simplify right side
    30,208.68x = 1,134,062,387.65
  5. Step 5: Solve for x
    x = 1,134,062,387.65/30,208.68
  6. Step 6: Final answer
    x = 37,540.94

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.