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Finding the Fourth Proportional to 31,649.37, 47,474.10 and 12,938.24

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Solution

The fourth proportional to 31,649.37, 47,474.10 and 12,938.24 is: 19,407.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.37 : 47,474.10 = 12,938.24 : x
  2. Step 2: Convert to fraction form
    31,649.37/47,474.10 = 12,938.24/x
  3. Step 3: Cross multiply
    31,649.37x = 47,474.10 × 12,938.24
  4. Step 4: Simplify right side
    31,649.37x = 614,231,062.21
  5. Step 5: Solve for x
    x = 614,231,062.21/31,649.37
  6. Step 6: Final answer
    x = 19,407.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.