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Finding the Fourth Proportional to 71,014.96, 106,522.31 and 41,412.03

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Solution

The fourth proportional to 71,014.96, 106,522.31 and 41,412.03 is: 62,117.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,014.96 : 106,522.31 = 41,412.03 : x
  2. Step 2: Convert to fraction form
    71,014.96/106,522.31 = 41,412.03/x
  3. Step 3: Cross multiply
    71,014.96x = 106,522.31 × 41,412.03
  4. Step 4: Simplify right side
    71,014.96x = 4,411,304,890.33
  5. Step 5: Solve for x
    x = 4,411,304,890.33/71,014.96
  6. Step 6: Final answer
    x = 62,117.97

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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.