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Finding the Fourth Proportional to 57,049.60, 85,412.40 and 53,946.40

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Solution

The fourth proportional to 57,049.60, 85,412.40 and 53,946.40 is: 80,766.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,049.60 : 85,412.40 = 53,946.40 : x
  2. Step 2: Convert to fraction form
    57,049.60/85,412.40 = 53,946.40/x
  3. Step 3: Cross multiply
    57,049.60x = 85,412.40 × 53,946.40
  4. Step 4: Simplify right side
    57,049.60x = 4,607,691,495.36
  5. Step 5: Solve for x
    x = 4,607,691,495.36/57,049.60
  6. Step 6: Final answer
    x = 80,766.41

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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.