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Finding the Fourth Proportional to 57,340.30, 85,837.65 and 50,428.30

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Solution

The fourth proportional to 57,340.30, 85,837.65 and 50,428.30 is: 75,490.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,340.30 : 85,837.65 = 50,428.30 : x
  2. Step 2: Convert to fraction form
    57,340.30/85,837.65 = 50,428.30/x
  3. Step 3: Cross multiply
    57,340.30x = 85,837.65 × 50,428.30
  4. Step 4: Simplify right side
    57,340.30x = 4,328,646,765.50
  5. Step 5: Solve for x
    x = 4,328,646,765.50/57,340.30
  6. Step 6: Final answer
    x = 75,490.48

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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.