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Finding the Fourth Proportional to 40,812.84, 56,321.82 and 23,828.76

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Solution

The fourth proportional to 40,812.84, 56,321.82 and 23,828.76 is: 32,883.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,812.84 : 56,321.82 = 23,828.76 : x
  2. Step 2: Convert to fraction form
    40,812.84/56,321.82 = 23,828.76/x
  3. Step 3: Cross multiply
    40,812.84x = 56,321.82 × 23,828.76
  4. Step 4: Simplify right side
    40,812.84x = 1,342,079,131.54
  5. Step 5: Solve for x
    x = 1,342,079,131.54/40,812.84
  6. Step 6: Final answer
    x = 32,883.75

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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.