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Finding the Fourth Proportional to 116,932.70, 175,425 and 54,569.18

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Solution

The fourth proportional to 116,932.70, 175,425 and 54,569.18 is: 81,865.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    116,932.70 : 175,425 = 54,569.18 : x
  2. Step 2: Convert to fraction form
    116,932.70/175,425 = 54,569.18/x
  3. Step 3: Cross multiply
    116,932.70x = 175,425 × 54,569.18
  4. Step 4: Simplify right side
    116,932.70x = 9,572,798,401.50
  5. Step 5: Solve for x
    x = 9,572,798,401.50/116,932.70
  6. Step 6: Final answer
    x = 81,865.88

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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.