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Finding the Fourth Proportional to 116,966.52, 175,448.15 and 28,219.28

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Solution

The fourth proportional to 116,966.52, 175,448.15 and 28,219.28 is: 42,328.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,966.52 : 175,448.15 = 28,219.28 : x
  2. Step 2: Convert to fraction form
    116,966.52/175,448.15 = 28,219.28/x
  3. Step 3: Cross multiply
    116,966.52x = 175,448.15 × 28,219.28
  4. Step 4: Simplify right side
    116,966.52x = 4,951,019,593.09
  5. Step 5: Solve for x
    x = 4,951,019,593.09/116,966.52
  6. Step 6: Final answer
    x = 42,328.52

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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.