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Finding the Fourth Proportional to 57,096.32, 85,742.48 and 35,039.20

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Solution

The fourth proportional to 57,096.32, 85,742.48 and 35,039.20 is: 52,618.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,096.32 : 85,742.48 = 35,039.20 : x
  2. Step 2: Convert to fraction form
    57,096.32/85,742.48 = 35,039.20/x
  3. Step 3: Cross multiply
    57,096.32x = 85,742.48 × 35,039.20
  4. Step 4: Simplify right side
    57,096.32x = 3,004,347,905.22
  5. Step 5: Solve for x
    x = 3,004,347,905.22/57,096.32
  6. Step 6: Final answer
    x = 52,618.94

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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.