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Finding the Fourth Proportional to 31,973.40, 47,960.03 and 8,599.86

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Solution

The fourth proportional to 31,973.40, 47,960.03 and 8,599.86 is: 12,899.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,973.40 : 47,960.03 = 8,599.86 : x
  2. Step 2: Convert to fraction form
    31,973.40/47,960.03 = 8,599.86/x
  3. Step 3: Cross multiply
    31,973.40x = 47,960.03 × 8,599.86
  4. Step 4: Simplify right side
    31,973.40x = 412,449,500.60
  5. Step 5: Solve for x
    x = 412,449,500.60/31,973.40
  6. Step 6: Final answer
    x = 12,899.77

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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.