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Finding the Fourth Proportional to 31,706.96, 47,564.04 and 8,333.84

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Solution

The fourth proportional to 31,706.96, 47,564.04 and 8,333.84 is: 12,501.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,706.96 : 47,564.04 = 8,333.84 : x
  2. Step 2: Convert to fraction form
    31,706.96/47,564.04 = 8,333.84/x
  3. Step 3: Cross multiply
    31,706.96x = 47,564.04 × 8,333.84
  4. Step 4: Simplify right side
    31,706.96x = 396,391,099.11
  5. Step 5: Solve for x
    x = 396,391,099.11/31,706.96
  6. Step 6: Final answer
    x = 12,501.71

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1.5x scale

Why These Related Problems?

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