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Finding the Fourth Proportional to 31,907.24, 47,861.50 and 8,533.64

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Solution

The fourth proportional to 31,907.24, 47,861.50 and 8,533.64 is: 12,800.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.24 : 47,861.50 = 8,533.64 : x
  2. Step 2: Convert to fraction form
    31,907.24/47,861.50 = 8,533.64/x
  3. Step 3: Cross multiply
    31,907.24x = 47,861.50 × 8,533.64
  4. Step 4: Simplify right side
    31,907.24x = 408,432,810.86
  5. Step 5: Solve for x
    x = 408,432,810.86/31,907.24
  6. Step 6: Final answer
    x = 12,800.63

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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.