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Finding the Fourth Proportional to 31,878.42, 43,966.03 and 28,296

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Solution

The fourth proportional to 31,878.42, 43,966.03 and 28,296 is: 39,025.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,878.42 : 43,966.03 = 28,296 : x
  2. Step 2: Convert to fraction form
    31,878.42/43,966.03 = 28,296/x
  3. Step 3: Cross multiply
    31,878.42x = 43,966.03 × 28,296
  4. Step 4: Simplify right side
    31,878.42x = 1,244,062,784.88
  5. Step 5: Solve for x
    x = 1,244,062,784.88/31,878.42
  6. Step 6: Final answer
    x = 39,025.23

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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.