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Finding the Fourth Proportional to 57,811.31, 79,775.20 and 35,147.16

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Solution

The fourth proportional to 57,811.31, 79,775.20 and 35,147.16 is: 48,500.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,811.31 : 79,775.20 = 35,147.16 : x
  2. Step 2: Convert to fraction form
    57,811.31/79,775.20 = 35,147.16/x
  3. Step 3: Cross multiply
    57,811.31x = 79,775.20 × 35,147.16
  4. Step 4: Simplify right side
    57,811.31x = 2,803,871,439.15
  5. Step 5: Solve for x
    x = 2,803,871,439.15/57,811.31
  6. Step 6: Final answer
    x = 48,500.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.