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Finding the Fourth Proportional to 77,391.76, 116,051.41 and 27,470.75

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Solution

The fourth proportional to 77,391.76, 116,051.41 and 27,470.75 is: 41,193.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,391.76 : 116,051.41 = 27,470.75 : x
  2. Step 2: Convert to fraction form
    77,391.76/116,051.41 = 27,470.75/x
  3. Step 3: Cross multiply
    77,391.76x = 116,051.41 × 27,470.75
  4. Step 4: Simplify right side
    77,391.76x = 3,188,019,133.90
  5. Step 5: Solve for x
    x = 3,188,019,133.90/77,391.76
  6. Step 6: Final answer
    x = 41,193.26

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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.