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Finding the Fourth Proportional to 31,609.85, 47,417.49 and 8,236.25

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Solution

The fourth proportional to 31,609.85, 47,417.49 and 8,236.25 is: 12,355.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.85 : 47,417.49 = 8,236.25 : x
  2. Step 2: Convert to fraction form
    31,609.85/47,417.49 = 8,236.25/x
  3. Step 3: Cross multiply
    31,609.85x = 47,417.49 × 8,236.25
  4. Step 4: Simplify right side
    31,609.85x = 390,542,302.01
  5. Step 5: Solve for x
    x = 390,542,302.01/31,609.85
  6. Step 6: Final answer
    x = 12,355.08

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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.