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Finding the Fourth Proportional to 98,769.34, 148,127.64 and 27,687.70

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Solution

The fourth proportional to 98,769.34, 148,127.64 and 27,687.70 is: 41,524.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    98,769.34 : 148,127.64 = 27,687.70 : x
  2. Step 2: Convert to fraction form
    98,769.34/148,127.64 = 27,687.70/x
  3. Step 3: Cross multiply
    98,769.34x = 148,127.64 × 27,687.70
  4. Step 4: Simplify right side
    98,769.34x = 4,101,313,658.03
  5. Step 5: Solve for x
    x = 4,101,313,658.03/98,769.34
  6. Step 6: Final answer
    x = 41,524.16

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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.