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Finding the Fourth Proportional to 30,446.32, 45,673.17 and 10,720.84

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Solution

The fourth proportional to 30,446.32, 45,673.17 and 10,720.84 is: 16,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,446.32 : 45,673.17 = 10,720.84 : x
  2. Step 2: Convert to fraction form
    30,446.32/45,673.17 = 10,720.84/x
  3. Step 3: Cross multiply
    30,446.32x = 45,673.17 × 10,720.84
  4. Step 4: Simplify right side
    30,446.32x = 489,654,747.86
  5. Step 5: Solve for x
    x = 489,654,747.86/30,446.32
  6. Step 6: Final answer
    x = 16,082.56

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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.