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Finding the Fourth Proportional to 71,431.98, 107,002.62 and 46,396.14

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Solution

The fourth proportional to 71,431.98, 107,002.62 and 46,396.14 is: 69,499.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,431.98 : 107,002.62 = 46,396.14 : x
  2. Step 2: Convert to fraction form
    71,431.98/107,002.62 = 46,396.14/x
  3. Step 3: Cross multiply
    71,431.98x = 107,002.62 × 46,396.14
  4. Step 4: Simplify right side
    71,431.98x = 4,964,508,537.89
  5. Step 5: Solve for x
    x = 4,964,508,537.89/71,431.98
  6. Step 6: Final answer
    x = 69,499.80

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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.