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Finding the Fourth Proportional to 92,902.58, 128,205.60 and 50,462

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Solution

The fourth proportional to 92,902.58, 128,205.60 and 50,462 is: 69,637.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,902.58 : 128,205.60 = 50,462 : x
  2. Step 2: Convert to fraction form
    92,902.58/128,205.60 = 50,462/x
  3. Step 3: Cross multiply
    92,902.58x = 128,205.60 × 50,462
  4. Step 4: Simplify right side
    92,902.58x = 6,469,510,987.20
  5. Step 5: Solve for x
    x = 6,469,510,987.20/92,902.58
  6. Step 6: Final answer
    x = 69,637.58

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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.