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Finding the Fourth Proportional to 31,903.70, 47,862.46 and 9,716.48

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Solution

The fourth proportional to 31,903.70, 47,862.46 and 9,716.48 is: 14,576.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,903.70 : 47,862.46 = 9,716.48 : x
  2. Step 2: Convert to fraction form
    31,903.70/47,862.46 = 9,716.48/x
  3. Step 3: Cross multiply
    31,903.70x = 47,862.46 × 9,716.48
  4. Step 4: Simplify right side
    31,903.70x = 465,054,635.34
  5. Step 5: Solve for x
    x = 465,054,635.34/31,903.70
  6. Step 6: Final answer
    x = 14,576.82

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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.