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Finding the Fourth Proportional to 57,103.20, 85,628.16 and 30,442.50

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Solution

The fourth proportional to 57,103.20, 85,628.16 and 30,442.50 is: 45,649.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,103.20 : 85,628.16 = 30,442.50 : x
  2. Step 2: Convert to fraction form
    57,103.20/85,628.16 = 30,442.50/x
  3. Step 3: Cross multiply
    57,103.20x = 85,628.16 × 30,442.50
  4. Step 4: Simplify right side
    57,103.20x = 2,606,735,260.80
  5. Step 5: Solve for x
    x = 2,606,735,260.80/57,103.20
  6. Step 6: Final answer
    x = 45,649.55

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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.