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Finding the Fourth Proportional to 92,603.40, 127,792.24 and 50,162

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Solution

The fourth proportional to 92,603.40, 127,792.24 and 50,162 is: 69,223.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,603.40 : 127,792.24 = 50,162 : x
  2. Step 2: Convert to fraction form
    92,603.40/127,792.24 = 50,162/x
  3. Step 3: Cross multiply
    92,603.40x = 127,792.24 × 50,162
  4. Step 4: Simplify right side
    92,603.40x = 6,410,314,342.88
  5. Step 5: Solve for x
    x = 6,410,314,342.88/92,603.40
  6. Step 6: Final answer
    x = 69,223.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.