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Finding the Fourth Proportional to 34,176.70, 51,265.05 and 19,431.10

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Solution

The fourth proportional to 34,176.70, 51,265.05 and 19,431.10 is: 29,146.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,176.70 : 51,265.05 = 19,431.10 : x
  2. Step 2: Convert to fraction form
    34,176.70/51,265.05 = 19,431.10/x
  3. Step 3: Cross multiply
    34,176.70x = 51,265.05 × 19,431.10
  4. Step 4: Simplify right side
    34,176.70x = 996,136,313.06
  5. Step 5: Solve for x
    x = 996,136,313.06/34,176.70
  6. Step 6: Final answer
    x = 29,146.65

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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.