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Finding the Fourth Proportional to 57,566.60, 86,204.10 and 45,902.60

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Solution

The fourth proportional to 57,566.60, 86,204.10 and 45,902.60 is: 68,737.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,566.60 : 86,204.10 = 45,902.60 : x
  2. Step 2: Convert to fraction form
    57,566.60/86,204.10 = 45,902.60/x
  3. Step 3: Cross multiply
    57,566.60x = 86,204.10 × 45,902.60
  4. Step 4: Simplify right side
    57,566.60x = 3,956,992,320.66
  5. Step 5: Solve for x
    x = 3,956,992,320.66/57,566.60
  6. Step 6: Final answer
    x = 68,737.64

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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.