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Finding the Fourth Proportional to 31,872.88, 43,950.36 and 21,263.50

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Solution

The fourth proportional to 31,872.88, 43,950.36 and 21,263.50 is: 29,320.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,872.88 : 43,950.36 = 21,263.50 : x
  2. Step 2: Convert to fraction form
    31,872.88/43,950.36 = 21,263.50/x
  3. Step 3: Cross multiply
    31,872.88x = 43,950.36 × 21,263.50
  4. Step 4: Simplify right side
    31,872.88x = 934,538,479.86
  5. Step 5: Solve for x
    x = 934,538,479.86/31,872.88
  6. Step 6: Final answer
    x = 29,320.80

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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.