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Finding the Fourth Proportional to 58,457.28, 80,652 and 35,772.60

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Solution

The fourth proportional to 58,457.28, 80,652 and 35,772.60 is: 49,354.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,457.28 : 80,652 = 35,772.60 : x
  2. Step 2: Convert to fraction form
    58,457.28/80,652 = 35,772.60/x
  3. Step 3: Cross multiply
    58,457.28x = 80,652 × 35,772.60
  4. Step 4: Simplify right side
    58,457.28x = 2,885,131,735.20
  5. Step 5: Solve for x
    x = 2,885,131,735.20/58,457.28
  6. Step 6: Final answer
    x = 49,354.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.