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Finding the Fourth Proportional to 75,850.32, 113,683.08 and 53,670

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Solution

The fourth proportional to 75,850.32, 113,683.08 and 53,670 is: 80,439.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,850.32 : 113,683.08 = 53,670 : x
  2. Step 2: Convert to fraction form
    75,850.32/113,683.08 = 53,670/x
  3. Step 3: Cross multiply
    75,850.32x = 113,683.08 × 53,670
  4. Step 4: Simplify right side
    75,850.32x = 6,101,370,903.60
  5. Step 5: Solve for x
    x = 6,101,370,903.60/75,850.32
  6. Step 6: Final answer
    x = 80,439.62

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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.