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Finding the Fourth Proportional to 71,370.80, 107,056.20 and 21,458.60

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Solution

The fourth proportional to 71,370.80, 107,056.20 and 21,458.60 is: 32,187.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,370.80 : 107,056.20 = 21,458.60 : x
  2. Step 2: Convert to fraction form
    71,370.80/107,056.20 = 21,458.60/x
  3. Step 3: Cross multiply
    71,370.80x = 107,056.20 × 21,458.60
  4. Step 4: Simplify right side
    71,370.80x = 2,297,276,173.32
  5. Step 5: Solve for x
    x = 2,297,276,173.32/71,370.80
  6. Step 6: Final answer
    x = 32,187.90

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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.