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Finding the Fourth Proportional to 30,941.91, 42,728.31 and 29,284.65

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Solution

The fourth proportional to 30,941.91, 42,728.31 and 29,284.65 is: 40,439.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,941.91 : 42,728.31 = 29,284.65 : x
  2. Step 2: Convert to fraction form
    30,941.91/42,728.31 = 29,284.65/x
  3. Step 3: Cross multiply
    30,941.91x = 42,728.31 × 29,284.65
  4. Step 4: Simplify right side
    30,941.91x = 1,251,283,603.44
  5. Step 5: Solve for x
    x = 1,251,283,603.44/30,941.91
  6. Step 6: Final answer
    x = 40,439.77

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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.