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Finding the Fourth Proportional to 31,846.68, 47,769.84 and 11,070

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Solution

The fourth proportional to 31,846.68, 47,769.84 and 11,070 is: 16,604.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,846.68 : 47,769.84 = 11,070 : x
  2. Step 2: Convert to fraction form
    31,846.68/47,769.84 = 11,070/x
  3. Step 3: Cross multiply
    31,846.68x = 47,769.84 × 11,070
  4. Step 4: Simplify right side
    31,846.68x = 528,812,128.80
  5. Step 5: Solve for x
    x = 528,812,128.80/31,846.68
  6. Step 6: Final answer
    x = 16,604.94

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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.