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Finding the Fourth Proportional to 77,768.92, 116,671.92 and 25,178.42

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Solution

The fourth proportional to 77,768.92, 116,671.92 and 25,178.42 is: 37,773.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,768.92 : 116,671.92 = 25,178.42 : x
  2. Step 2: Convert to fraction form
    77,768.92/116,671.92 = 25,178.42/x
  3. Step 3: Cross multiply
    77,768.92x = 116,671.92 × 25,178.42
  4. Step 4: Simplify right side
    77,768.92x = 2,937,614,603.97
  5. Step 5: Solve for x
    x = 2,937,614,603.97/77,768.92
  6. Step 6: Final answer
    x = 37,773.63

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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.