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Finding the Fourth Proportional to 77,476.80, 116,176.78 and 27,549.38

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Solution

The fourth proportional to 77,476.80, 116,176.78 and 27,549.38 is: 41,310.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,476.80 : 116,176.78 = 27,549.38 : x
  2. Step 2: Convert to fraction form
    77,476.80/116,176.78 = 27,549.38/x
  3. Step 3: Cross multiply
    77,476.80x = 116,176.78 × 27,549.38
  4. Step 4: Simplify right side
    77,476.80x = 3,200,598,259.40
  5. Step 5: Solve for x
    x = 3,200,598,259.40/77,476.80
  6. Step 6: Final answer
    x = 41,310.41

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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.