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Finding the Fourth Proportional to 31,271.44, 46,907.39 and 7,897.88

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Solution

The fourth proportional to 31,271.44, 46,907.39 and 7,897.88 is: 11,846.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,271.44 : 46,907.39 = 7,897.88 : x
  2. Step 2: Convert to fraction form
    31,271.44/46,907.39 = 7,897.88/x
  3. Step 3: Cross multiply
    31,271.44x = 46,907.39 × 7,897.88
  4. Step 4: Simplify right side
    31,271.44x = 370,468,937.33
  5. Step 5: Solve for x
    x = 370,468,937.33/31,271.44
  6. Step 6: Final answer
    x = 11,846.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.