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Finding the Fourth Proportional to 31,419, 47,128.50 and 9,531

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Solution

The fourth proportional to 31,419, 47,128.50 and 9,531 is: 14,296.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,419 : 47,128.50 = 9,531 : x
  2. Step 2: Convert to fraction form
    31,419/47,128.50 = 9,531/x
  3. Step 3: Cross multiply
    31,419x = 47,128.50 × 9,531
  4. Step 4: Simplify right side
    31,419x = 449,181,733.50
  5. Step 5: Solve for x
    x = 449,181,733.50/31,419
  6. Step 6: Final answer
    x = 14,296.50

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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.