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Finding the Fourth Proportional to 29,706.93, 40,980.24 and 20,143.59

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Solution

The fourth proportional to 29,706.93, 40,980.24 and 20,143.59 is: 27,787.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,706.93 : 40,980.24 = 20,143.59 : x
  2. Step 2: Convert to fraction form
    29,706.93/40,980.24 = 20,143.59/x
  3. Step 3: Cross multiply
    29,706.93x = 40,980.24 × 20,143.59
  4. Step 4: Simplify right side
    29,706.93x = 825,489,152.66
  5. Step 5: Solve for x
    x = 825,489,152.66/29,706.93
  6. Step 6: Final answer
    x = 27,787.76

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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.