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Finding the Fourth Proportional to 71,015.29, 106,522.80 and 41,412.37

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Solution

The fourth proportional to 71,015.29, 106,522.80 and 41,412.37 is: 62,118.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,015.29 : 106,522.80 = 41,412.37 : x
  2. Step 2: Convert to fraction form
    71,015.29/106,522.80 = 41,412.37/x
  3. Step 3: Cross multiply
    71,015.29x = 106,522.80 × 41,412.37
  4. Step 4: Simplify right side
    71,015.29x = 4,411,361,607.04
  5. Step 5: Solve for x
    x = 4,411,361,607.04/71,015.29
  6. Step 6: Final answer
    x = 62,118.48

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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.