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Finding the Fourth Proportional to 34,397.57, 51,590.81 and 9,431.82

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Solution

The fourth proportional to 34,397.57, 51,590.81 and 9,431.82 is: 14,146.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,397.57 : 51,590.81 = 9,431.82 : x
  2. Step 2: Convert to fraction form
    34,397.57/51,590.81 = 9,431.82/x
  3. Step 3: Cross multiply
    34,397.57x = 51,590.81 × 9,431.82
  4. Step 4: Simplify right side
    34,397.57x = 486,595,257.15
  5. Step 5: Solve for x
    x = 486,595,257.15/34,397.57
  6. Step 6: Final answer
    x = 14,146.21

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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.