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Finding the Fourth Proportional to 34,199, 51,300.42 and 9,576.92

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Solution

The fourth proportional to 34,199, 51,300.42 and 9,576.92 is: 14,365.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,199 : 51,300.42 = 9,576.92 : x
  2. Step 2: Convert to fraction form
    34,199/51,300.42 = 9,576.92/x
  3. Step 3: Cross multiply
    34,199x = 51,300.42 × 9,576.92
  4. Step 4: Simplify right side
    34,199x = 491,300,018.31
  5. Step 5: Solve for x
    x = 491,300,018.31/34,199
  6. Step 6: Final answer
    x = 14,365.92

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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.