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Finding the Fourth Proportional to 29,835.42, 41,171.81 and 16,406.55

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Solution

The fourth proportional to 29,835.42, 41,171.81 and 16,406.55 is: 22,640.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,835.42 : 41,171.81 = 16,406.55 : x
  2. Step 2: Convert to fraction form
    29,835.42/41,171.81 = 16,406.55/x
  3. Step 3: Cross multiply
    29,835.42x = 41,171.81 × 16,406.55
  4. Step 4: Simplify right side
    29,835.42x = 675,487,277.32
  5. Step 5: Solve for x
    x = 675,487,277.32/29,835.42
  6. Step 6: Final answer
    x = 22,640.45

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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.