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Finding the Fourth Proportional to 31,644.50, 47,455.40 and 9,453.74

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Solution

The fourth proportional to 31,644.50, 47,455.40 and 9,453.74 is: 14,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,644.50 : 47,455.40 = 9,453.74 : x
  2. Step 2: Convert to fraction form
    31,644.50/47,455.40 = 9,453.74/x
  3. Step 3: Cross multiply
    31,644.50x = 47,455.40 × 9,453.74
  4. Step 4: Simplify right side
    31,644.50x = 448,630,799.55
  5. Step 5: Solve for x
    x = 448,630,799.55/31,644.50
  6. Step 6: Final answer
    x = 14,177.21

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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.