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Finding the Fourth Proportional to 116,076.48, 174,114.72 and 32,959.68

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Solution

The fourth proportional to 116,076.48, 174,114.72 and 32,959.68 is: 49,439.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,076.48 : 174,114.72 = 32,959.68 : x
  2. Step 2: Convert to fraction form
    116,076.48/174,114.72 = 32,959.68/x
  3. Step 3: Cross multiply
    116,076.48x = 174,114.72 × 32,959.68
  4. Step 4: Simplify right side
    116,076.48x = 5,738,765,454.49
  5. Step 5: Solve for x
    x = 5,738,765,454.49/116,076.48
  6. Step 6: Final answer
    x = 49,439.52

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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.