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Finding the Fourth Proportional to 34,404.50, 51,615.42 and 9,780.50

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Solution

The fourth proportional to 34,404.50, 51,615.42 and 9,780.50 is: 14,673.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,404.50 : 51,615.42 = 9,780.50 : x
  2. Step 2: Convert to fraction form
    34,404.50/51,615.42 = 9,780.50/x
  3. Step 3: Cross multiply
    34,404.50x = 51,615.42 × 9,780.50
  4. Step 4: Simplify right side
    34,404.50x = 504,824,615.31
  5. Step 5: Solve for x
    x = 504,824,615.31/34,404.50
  6. Step 6: Final answer
    x = 14,673.21

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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.