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Finding the Fourth Proportional to 30,290.96, 45,442.20 and 9,520.40

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Solution

The fourth proportional to 30,290.96, 45,442.20 and 9,520.40 is: 14,282.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,290.96 : 45,442.20 = 9,520.40 : x
  2. Step 2: Convert to fraction form
    30,290.96/45,442.20 = 9,520.40/x
  3. Step 3: Cross multiply
    30,290.96x = 45,442.20 × 9,520.40
  4. Step 4: Simplify right side
    30,290.96x = 432,627,920.88
  5. Step 5: Solve for x
    x = 432,627,920.88/30,290.96
  6. Step 6: Final answer
    x = 14,282.41

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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.