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Finding the Fourth Proportional to 116,127, 174,219.75 and 33,021

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Solution

The fourth proportional to 116,127, 174,219.75 and 33,021 is: 49,539.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,127 : 174,219.75 = 33,021 : x
  2. Step 2: Convert to fraction form
    116,127/174,219.75 = 33,021/x
  3. Step 3: Cross multiply
    116,127x = 174,219.75 × 33,021
  4. Step 4: Simplify right side
    116,127x = 5,752,910,364.75
  5. Step 5: Solve for x
    x = 5,752,910,364.75/116,127
  6. Step 6: Final answer
    x = 49,539.82

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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.