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Finding the Fourth Proportional to 41,113.16, 61,632.82 and 34,138

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Solution

The fourth proportional to 41,113.16, 61,632.82 and 34,138 is: 51,176.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,113.16 : 61,632.82 = 34,138 : x
  2. Step 2: Convert to fraction form
    41,113.16/61,632.82 = 34,138/x
  3. Step 3: Cross multiply
    41,113.16x = 61,632.82 × 34,138
  4. Step 4: Simplify right side
    41,113.16x = 2,104,021,209.16
  5. Step 5: Solve for x
    x = 2,104,021,209.16/41,113.16
  6. Step 6: Final answer
    x = 51,176.34

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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.