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Finding the Fourth Proportional to 34,575.75, 51,863.67 and 9,615.80

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Solution

The fourth proportional to 34,575.75, 51,863.67 and 9,615.80 is: 14,423.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,575.75 : 51,863.67 = 9,615.80 : x
  2. Step 2: Convert to fraction form
    34,575.75/51,863.67 = 9,615.80/x
  3. Step 3: Cross multiply
    34,575.75x = 51,863.67 × 9,615.80
  4. Step 4: Simplify right side
    34,575.75x = 498,710,677.99
  5. Step 5: Solve for x
    x = 498,710,677.99/34,575.75
  6. Step 6: Final answer
    x = 14,423.71

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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.