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Finding the Fourth Proportional to 30,230.92, 45,339.08 and 9,454.42

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Solution

The fourth proportional to 30,230.92, 45,339.08 and 9,454.42 is: 14,179.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,230.92 : 45,339.08 = 9,454.42 : x
  2. Step 2: Convert to fraction form
    30,230.92/45,339.08 = 9,454.42/x
  3. Step 3: Cross multiply
    30,230.92x = 45,339.08 × 9,454.42
  4. Step 4: Simplify right side
    30,230.92x = 428,654,478.04
  5. Step 5: Solve for x
    x = 428,654,478.04/30,230.92
  6. Step 6: Final answer
    x = 14,179.34

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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.