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Finding the Fourth Proportional to 51,734.88, 71,394.05 and 30,239.40

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Solution

The fourth proportional to 51,734.88, 71,394.05 and 30,239.40 is: 41,730.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,734.88 : 71,394.05 = 30,239.40 : x
  2. Step 2: Convert to fraction form
    51,734.88/71,394.05 = 30,239.40/x
  3. Step 3: Cross multiply
    51,734.88x = 71,394.05 × 30,239.40
  4. Step 4: Simplify right side
    51,734.88x = 2,158,913,084.37
  5. Step 5: Solve for x
    x = 2,158,913,084.37/51,734.88
  6. Step 6: Final answer
    x = 41,730.32

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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.