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Finding the Fourth Proportional to 57,683.76, 86,579.10 and 35,540.40

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Solution

The fourth proportional to 57,683.76, 86,579.10 and 35,540.40 is: 53,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,683.76 : 86,579.10 = 35,540.40 : x
  2. Step 2: Convert to fraction form
    57,683.76/86,579.10 = 35,540.40/x
  3. Step 3: Cross multiply
    57,683.76x = 86,579.10 × 35,540.40
  4. Step 4: Simplify right side
    57,683.76x = 3,077,055,845.64
  5. Step 5: Solve for x
    x = 3,077,055,845.64/57,683.76
  6. Step 6: Final answer
    x = 53,343.54

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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.