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Finding the Fourth Proportional to 31,673.08, 47,509.98 and 8,301.88

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Solution

The fourth proportional to 31,673.08, 47,509.98 and 8,301.88 is: 12,452.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,673.08 : 47,509.98 = 8,301.88 : x
  2. Step 2: Convert to fraction form
    31,673.08/47,509.98 = 8,301.88/x
  3. Step 3: Cross multiply
    31,673.08x = 47,509.98 × 8,301.88
  4. Step 4: Simplify right side
    31,673.08x = 394,422,152.76
  5. Step 5: Solve for x
    x = 394,422,152.76/31,673.08
  6. Step 6: Final answer
    x = 12,452.91

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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.