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Finding the Fourth Proportional to 39,753, 59,629.50 and 12,051

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Solution

The fourth proportional to 39,753, 59,629.50 and 12,051 is: 18,076.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,753 : 59,629.50 = 12,051 : x
  2. Step 2: Convert to fraction form
    39,753/59,629.50 = 12,051/x
  3. Step 3: Cross multiply
    39,753x = 59,629.50 × 12,051
  4. Step 4: Simplify right side
    39,753x = 718,595,104.50
  5. Step 5: Solve for x
    x = 718,595,104.50/39,753
  6. Step 6: Final answer
    x = 18,076.50

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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.