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Finding the Fourth Proportional to 51,540.94, 71,114.17 and 30,017.62

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Solution

The fourth proportional to 51,540.94, 71,114.17 and 30,017.62 is: 41,417.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,540.94 : 71,114.17 = 30,017.62 : x
  2. Step 2: Convert to fraction form
    51,540.94/71,114.17 = 30,017.62/x
  3. Step 3: Cross multiply
    51,540.94x = 71,114.17 × 30,017.62
  4. Step 4: Simplify right side
    51,540.94x = 2,134,677,626.02
  5. Step 5: Solve for x
    x = 2,134,677,626.02/51,540.94
  6. Step 6: Final answer
    x = 41,417.13

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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.