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Finding the Fourth Proportional to 49,201.60, 73,792.80 and 15,913.60

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Solution

The fourth proportional to 49,201.60, 73,792.80 and 15,913.60 is: 23,867.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,201.60 : 73,792.80 = 15,913.60 : x
  2. Step 2: Convert to fraction form
    49,201.60/73,792.80 = 15,913.60/x
  3. Step 3: Cross multiply
    49,201.60x = 73,792.80 × 15,913.60
  4. Step 4: Simplify right side
    49,201.60x = 1,174,309,102.08
  5. Step 5: Solve for x
    x = 1,174,309,102.08/49,201.60
  6. Step 6: Final answer
    x = 23,867.30

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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.