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Finding the Fourth Proportional to 71,435.89, 107,119.20 and 21,506.68

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Solution

The fourth proportional to 71,435.89, 107,119.20 and 21,506.68 is: 32,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,435.89 : 107,119.20 = 21,506.68 : x
  2. Step 2: Convert to fraction form
    71,435.89/107,119.20 = 21,506.68/x
  3. Step 3: Cross multiply
    71,435.89x = 107,119.20 × 21,506.68
  4. Step 4: Simplify right side
    71,435.89x = 2,303,778,356.26
  5. Step 5: Solve for x
    x = 2,303,778,356.26/71,435.89
  6. Step 6: Final answer
    x = 32,249.59

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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.