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Finding the Fourth Proportional to 31,995, 47,996.46 and 10,937.16

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Solution

The fourth proportional to 31,995, 47,996.46 and 10,937.16 is: 16,407.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,995 : 47,996.46 = 10,937.16 : x
  2. Step 2: Convert to fraction form
    31,995/47,996.46 = 10,937.16/x
  3. Step 3: Cross multiply
    31,995x = 47,996.46 × 10,937.16
  4. Step 4: Simplify right side
    31,995x = 524,944,962.45
  5. Step 5: Solve for x
    x = 524,944,962.45/31,995
  6. Step 6: Final answer
    x = 16,407.09

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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.