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Finding the Fourth Proportional to 31,491, 43,406.93 and 21,278.85

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Solution

The fourth proportional to 31,491, 43,406.93 and 21,278.85 is: 29,330.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,491 : 43,406.93 = 21,278.85 : x
  2. Step 2: Convert to fraction form
    31,491/43,406.93 = 21,278.85/x
  3. Step 3: Cross multiply
    31,491x = 43,406.93 × 21,278.85
  4. Step 4: Simplify right side
    31,491x = 923,649,552.43
  5. Step 5: Solve for x
    x = 923,649,552.43/31,491
  6. Step 6: Final answer
    x = 29,330.59

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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.