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Finding the Fourth Proportional to 41,157.57, 61,740 and 11,575.65

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Solution

The fourth proportional to 41,157.57, 61,740 and 11,575.65 is: 17,364.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,157.57 : 61,740 = 11,575.65 : x
  2. Step 2: Convert to fraction form
    41,157.57/61,740 = 11,575.65/x
  3. Step 3: Cross multiply
    41,157.57x = 61,740 × 11,575.65
  4. Step 4: Simplify right side
    41,157.57x = 714,680,631
  5. Step 5: Solve for x
    x = 714,680,631/41,157.57
  6. Step 6: Final answer
    x = 17,364.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.