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Finding the Fourth Proportional to 57,346.30, 85,846.65 and 50,434.30

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Solution

The fourth proportional to 57,346.30, 85,846.65 and 50,434.30 is: 75,499.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,346.30 : 85,846.65 = 50,434.30 : x
  2. Step 2: Convert to fraction form
    57,346.30/85,846.65 = 50,434.30/x
  3. Step 3: Cross multiply
    57,346.30x = 85,846.65 × 50,434.30
  4. Step 4: Simplify right side
    57,346.30x = 4,329,615,700.10
  5. Step 5: Solve for x
    x = 4,329,615,700.10/57,346.30
  6. Step 6: Final answer
    x = 75,499.48

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.