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Finding the Fourth Proportional to 71,874.03, 107,792.82 and 46,927.65

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Solution

The fourth proportional to 71,874.03, 107,792.82 and 46,927.65 is: 70,379.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,874.03 : 107,792.82 = 46,927.65 : x
  2. Step 2: Convert to fraction form
    71,874.03/107,792.82 = 46,927.65/x
  3. Step 3: Cross multiply
    71,874.03x = 107,792.82 × 46,927.65
  4. Step 4: Simplify right side
    71,874.03x = 5,058,463,729.47
  5. Step 5: Solve for x
    x = 5,058,463,729.47/71,874.03
  6. Step 6: Final answer
    x = 70,379.58

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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.