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Finding the Fourth Proportional to 31,649.41, 43,666.32 and 21,040.84

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Solution

The fourth proportional to 31,649.41, 43,666.32 and 21,040.84 is: 29,029.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,649.41 : 43,666.32 = 21,040.84 : x
  2. Step 2: Convert to fraction form
    31,649.41/43,666.32 = 21,040.84/x
  3. Step 3: Cross multiply
    31,649.41x = 43,666.32 × 21,040.84
  4. Step 4: Simplify right side
    31,649.41x = 918,776,052.51
  5. Step 5: Solve for x
    x = 918,776,052.51/31,649.41
  6. Step 6: Final answer
    x = 29,029.80

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.