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Finding the Fourth Proportional to 116,236.16, 174,354.24 and 33,128

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Solution

The fourth proportional to 116,236.16, 174,354.24 and 33,128 is: 49,692.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,236.16 : 174,354.24 = 33,128 : x
  2. Step 2: Convert to fraction form
    116,236.16/174,354.24 = 33,128/x
  3. Step 3: Cross multiply
    116,236.16x = 174,354.24 × 33,128
  4. Step 4: Simplify right side
    116,236.16x = 5,776,007,262.72
  5. Step 5: Solve for x
    x = 5,776,007,262.72/116,236.16
  6. Step 6: Final answer
    x = 49,692.00

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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.