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Finding the Fourth Proportional to 31,907.61, 47,861.40 and 12,188.16

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Solution

The fourth proportional to 31,907.61, 47,861.40 and 12,188.16 is: 18,282.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,907.61 : 47,861.40 = 12,188.16 : x
  2. Step 2: Convert to fraction form
    31,907.61/47,861.40 = 12,188.16/x
  3. Step 3: Cross multiply
    31,907.61x = 47,861.40 × 12,188.16
  4. Step 4: Simplify right side
    31,907.61x = 583,342,401.02
  5. Step 5: Solve for x
    x = 583,342,401.02/31,907.61
  6. Step 6: Final answer
    x = 18,282.23

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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.