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Finding the Fourth Proportional to 31,609.35, 47,416.74 and 8,235.75

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Solution

The fourth proportional to 31,609.35, 47,416.74 and 8,235.75 is: 12,354.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,609.35 : 47,416.74 = 8,235.75 : x
  2. Step 2: Convert to fraction form
    31,609.35/47,416.74 = 8,235.75/x
  3. Step 3: Cross multiply
    31,609.35x = 47,416.74 × 8,235.75
  4. Step 4: Simplify right side
    31,609.35x = 390,512,416.46
  5. Step 5: Solve for x
    x = 390,512,416.46/31,609.35
  6. Step 6: Final answer
    x = 12,354.33

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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.