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Finding the Fourth Proportional to 31,159.81, 42,991.23 and 18,414.15

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Solution

The fourth proportional to 31,159.81, 42,991.23 and 18,414.15 is: 25,406.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,159.81 : 42,991.23 = 18,414.15 : x
  2. Step 2: Convert to fraction form
    31,159.81/42,991.23 = 18,414.15/x
  3. Step 3: Cross multiply
    31,159.81x = 42,991.23 × 18,414.15
  4. Step 4: Simplify right side
    31,159.81x = 791,646,957.90
  5. Step 5: Solve for x
    x = 791,646,957.90/31,159.81
  6. Step 6: Final answer
    x = 25,406.03

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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.