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Finding the Fourth Proportional to 48,760.31, 73,140.47 and 11,824.31

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Solution

The fourth proportional to 48,760.31, 73,140.47 and 11,824.31 is: 17,736.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,760.31 : 73,140.47 = 11,824.31 : x
  2. Step 2: Convert to fraction form
    48,760.31/73,140.47 = 11,824.31/x
  3. Step 3: Cross multiply
    48,760.31x = 73,140.47 × 11,824.31
  4. Step 4: Simplify right side
    48,760.31x = 864,835,758.90
  5. Step 5: Solve for x
    x = 864,835,758.90/48,760.31
  6. Step 6: Final answer
    x = 17,736.47

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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.