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Finding the Fourth Proportional to 31,945, 47,918.32 and 11,168.50

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Solution

The fourth proportional to 31,945, 47,918.32 and 11,168.50 is: 16,753.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,945 : 47,918.32 = 11,168.50 : x
  2. Step 2: Convert to fraction form
    31,945/47,918.32 = 11,168.50/x
  3. Step 3: Cross multiply
    31,945x = 47,918.32 × 11,168.50
  4. Step 4: Simplify right side
    31,945x = 535,175,756.92
  5. Step 5: Solve for x
    x = 535,175,756.92/31,945
  6. Step 6: Final answer
    x = 16,753.04

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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.