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Finding the Fourth Proportional to 57,113.40, 85,694.40 and 36,069.60

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Solution

The fourth proportional to 57,113.40, 85,694.40 and 36,069.60 is: 54,119.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,113.40 : 85,694.40 = 36,069.60 : x
  2. Step 2: Convert to fraction form
    57,113.40/85,694.40 = 36,069.60/x
  3. Step 3: Cross multiply
    57,113.40x = 85,694.40 × 36,069.60
  4. Step 4: Simplify right side
    57,113.40x = 3,090,962,730.24
  5. Step 5: Solve for x
    x = 3,090,962,730.24/57,113.40
  6. Step 6: Final answer
    x = 54,119.75

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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.