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Finding the Fourth Proportional to 30,524.23, 45,785.89 and 8,337.57

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Solution

The fourth proportional to 30,524.23, 45,785.89 and 8,337.57 is: 12,506.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,524.23 : 45,785.89 = 8,337.57 : x
  2. Step 2: Convert to fraction form
    30,524.23/45,785.89 = 8,337.57/x
  3. Step 3: Cross multiply
    30,524.23x = 45,785.89 × 8,337.57
  4. Step 4: Simplify right side
    30,524.23x = 381,743,062.89
  5. Step 5: Solve for x
    x = 381,743,062.89/30,524.23
  6. Step 6: Final answer
    x = 12,506.23

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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.