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Finding the Fourth Proportional to 29,760.48, 44,629.20 and 8,693.46

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Solution

The fourth proportional to 29,760.48, 44,629.20 and 8,693.46 is: 13,036.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,760.48 : 44,629.20 = 8,693.46 : x
  2. Step 2: Convert to fraction form
    29,760.48/44,629.20 = 8,693.46/x
  3. Step 3: Cross multiply
    29,760.48x = 44,629.20 × 8,693.46
  4. Step 4: Simplify right side
    29,760.48x = 387,982,165.03
  5. Step 5: Solve for x
    x = 387,982,165.03/29,760.48
  6. Step 6: Final answer
    x = 13,036.82

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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.