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Finding the Fourth Proportional to 71,409.60, 107,114.40 and 18,824.40

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Solution

The fourth proportional to 71,409.60, 107,114.40 and 18,824.40 is: 28,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,409.60 : 107,114.40 = 18,824.40 : x
  2. Step 2: Convert to fraction form
    71,409.60/107,114.40 = 18,824.40/x
  3. Step 3: Cross multiply
    71,409.60x = 107,114.40 × 18,824.40
  4. Step 4: Simplify right side
    71,409.60x = 2,016,364,311.36
  5. Step 5: Solve for x
    x = 2,016,364,311.36/71,409.60
  6. Step 6: Final answer
    x = 28,236.60

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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.