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Finding the Fourth Proportional to 31,485.27, 47,220.17 and 9,292.71

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Solution

The fourth proportional to 31,485.27, 47,220.17 and 9,292.71 is: 13,936.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,485.27 : 47,220.17 = 9,292.71 : x
  2. Step 2: Convert to fraction form
    31,485.27/47,220.17 = 9,292.71/x
  3. Step 3: Cross multiply
    31,485.27x = 47,220.17 × 9,292.71
  4. Step 4: Simplify right side
    31,485.27x = 438,803,299.50
  5. Step 5: Solve for x
    x = 438,803,299.50/31,485.27
  6. Step 6: Final answer
    x = 13,936.78

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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.