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Finding the Fourth Proportional to 92,900.58, 128,202.84 and 50,460

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Solution

The fourth proportional to 92,900.58, 128,202.84 and 50,460 is: 69,634.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,900.58 : 128,202.84 = 50,460 : x
  2. Step 2: Convert to fraction form
    92,900.58/128,202.84 = 50,460/x
  3. Step 3: Cross multiply
    92,900.58x = 128,202.84 × 50,460
  4. Step 4: Simplify right side
    92,900.58x = 6,469,115,306.40
  5. Step 5: Solve for x
    x = 6,469,115,306.40/92,900.58
  6. Step 6: Final answer
    x = 69,634.82

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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.