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Finding the Fourth Proportional to 31,271.52, 46,907.59 and 7,897.96

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Solution

The fourth proportional to 31,271.52, 46,907.59 and 7,897.96 is: 11,847.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,271.52 : 46,907.59 = 7,897.96 : x
  2. Step 2: Convert to fraction form
    31,271.52/46,907.59 = 7,897.96/x
  3. Step 3: Cross multiply
    31,271.52x = 46,907.59 × 7,897.96
  4. Step 4: Simplify right side
    31,271.52x = 370,474,269.52
  5. Step 5: Solve for x
    x = 370,474,269.52/31,271.52
  6. Step 6: Final answer
    x = 11,847.02

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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.