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Finding the Fourth Proportional to 52,106.27, 71,907.98 and 31,974.27

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Solution

The fourth proportional to 52,106.27, 71,907.98 and 31,974.27 is: 44,125.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,106.27 : 71,907.98 = 31,974.27 : x
  2. Step 2: Convert to fraction form
    52,106.27/71,907.98 = 31,974.27/x
  3. Step 3: Cross multiply
    52,106.27x = 71,907.98 × 31,974.27
  4. Step 4: Simplify right side
    52,106.27x = 2,299,205,247.61
  5. Step 5: Solve for x
    x = 2,299,205,247.61/52,106.27
  6. Step 6: Final answer
    x = 44,125.31

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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.