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Finding the Fourth Proportional to 71,410.35, 107,130.50 and 21,494.10

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Solution

The fourth proportional to 71,410.35, 107,130.50 and 21,494.10 is: 32,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,410.35 : 107,130.50 = 21,494.10 : x
  2. Step 2: Convert to fraction form
    71,410.35/107,130.50 = 21,494.10/x
  3. Step 3: Cross multiply
    71,410.35x = 107,130.50 × 21,494.10
  4. Step 4: Simplify right side
    71,410.35x = 2,302,673,680.05
  5. Step 5: Solve for x
    x = 2,302,673,680.05/71,410.35
  6. Step 6: Final answer
    x = 32,245.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.